Abstract: A security device generates a key based on a physically unclonable function (PUF). The security device includes a physically unclonable function (PUF) block, an integrity detector, and a post processor. The PUF block outputs a plurality of first random signals and a plurality of corresponding first inverted random signals each having a logic level opposite to that of each of the plurality of corresponding first random signals. The integrity detector determines data integrity of the plurality of first random signals by using the plurality of first random signals and the plurality of corresponding first inverted random signals. The post processor generates a first row key that includes validity signals satisfying the data integrity.

Abstract: A random number generator according to example embodiments includes an initial random number generator configured to generate an initial random number, a self-timed ring (STR) oscillator configured to receive the initial random number, the STR oscillator having a plurality of ring stages generating, in response to a clock, either a bubble that does not change an output state of a previous clock or a token changing the output state of the previous clock, a duty corrector configured to adjust a duty of each of output values of the ring stages, and a sampling circuit configured to sample a random number using a logic operation from the duty-corrected output values.

Abstract: An apparatus includes an integrated circuit and a plurality of conducting wires disposed on the integrated circuit. The integrated circuit includes: (i) a signal generation circuit, which is configured to generate random signal and selection signal based on random or pseudo-random numbers, (ii) a transmitting circuit configured to select at least one from among the plurality of conducting wires based on the selection signal and to output the random signal through the at least one conducting wire, and (iii) a receiving circuit configured to detect an invasive attack on the integrated circuit based on signal received through the at least one conducting wire.

Abstract: A security device generates a key based on a physically unclonable function (PUF). The security device includes a physically unclonable function (PUF) block, an integrity detector, and a post processor. The PUF block outputs a plurality of first random signals and a plurality of corresponding first inverted random signals each having a logic level opposite to that of each of the plurality of corresponding first random signals. The integrity detector determines data integrity of the plurality of first random signals by using the plurality of first random signals and the plurality of corresponding first inverted random signals. The post processor generates a first row key that includes validity signals satisfying the data integrity.

Abstract: A random number generating circuit includes: an oscillation circuit including a plurality of first delay elements connected to each other in series to generate an oscillation signal; a sampling circuit including a plurality of second delay elements connected to each other in series to generate a plurality of sampling signals by sampling the oscillation signal at a plurality of sampling points in time based on the plurality of second delay elements; and a random number determining circuit configured to generate a random number based on a target sampling point in time associated with a target sampling signal in which a first logic level transition occurs from among the plurality of sampling signals, wherein the plurality of sampling points includes the target sampling point.

Abstract: A random number generator including: a first ring oscillator including a first inverter chain, the first inverter chain including a plurality of serially connected first inverters, the first ring oscillator configured to output a first random signal generated at a first sub-node between two neighboring first inverters among the plurality of first inverters; a second ring oscillator including a second inverter chain, the second inverter chain including a plurality of serially connected second inverters, the second ring oscillator configured to output a second random signal generated at a second sub-node between two neighboring second inverters among the plurality of second inverters; and a signal processing circuit for generating a random number by combining the first random signal with the second random signal.

Abstract: A security device generates a key based on a physically unclonable function (PUF). The security device includes a physically unclonable function (PUF) block, an integrity detector, and a post processor. The PUF block outputs a plurality of first random signals and a plurality of corresponding first inverted random signals each having a logic level opposite to that of each of the plurality of corresponding first random signals. The integrity detector determines data integrity of the plurality of first random signals by using the plurality of first random signals and the plurality of corresponding first inverted random signals. The post processor generates a first row key that includes validity signals satisfying the data integrity.

Abstract: An integrated circuit including: a plurality of physically unclonable function (PUF) cells each configured to generate a cell signal having a unique value; a selector configured to output a first signal obtained by not inverting a cell signal output by a PUF cell selected from the plurality of PUF cells and a second signal obtained by inverting the cell signal; and a key generator configured to generate a security key in response to the first signal or the second signal, wherein the selector includes a first conversion circuit configured to generate the first signal and a second conversion circuit having the same structure as the first conversion circuit and configured to generate the second signal.

Abstract: An integrated circuit including: a plurality of physically unclonable function (PUF) cells each configured to generate a cell signal having a unique value; a selector configured to output a first signal obtained by not inverting a cell signal output by a PUF cell selected from the plurality PUF cells and a second signal obtained by inverting the cell signal; and a key generator configured to generate a security key in response to the first signal or the second signal, wherein the selector includes a first conversion circuit configured to generate the first signal and a second conversion circuit having the same structure as the first conversion circuit and configured to generate the second signal.

Abstract: Systems and methods are described based on an integrated circuit that performs a challenge-response physically unclonable function (PUF). The PUF is used for challenge-response authentication. The integrated circuit includes a PUP block configured to output an n-bit internal response corresponding to a challenge that requests a response where n is an integer greater than 1 and a response generator configured to calculate a Hamming weight of the internal response and output the response by comparing the Hamming weight with at least one reference.

Abstract: A security device generates a key based on a physically unclonable function (PUF). The security device includes a physically unclonable function (PUF) block, an integrity detector, and a post processor. The PUF block outputs a plurality of first random signals and a plurality of corresponding first inverted random signals each having a logic level opposite to that of each of the plurality of corresponding first random signals. The integrity detector determines data integrity of the plurality of first random signals by using the plurality of first random signals and the plurality of corresponding first inverted random signals. The post processor generates a first row key that includes validity signals satisfying the data integrity.

Abstract: An apparatus includes an integrated circuit and a plurality of conducting wires disposed on the integrated circuit. The integrated circuit includes: (i) a signal generation circuit, which is configured to generate random signal and selection signal based on random or pseudo-random numbers, (ii) a transmitting circuit configured to select at least one from among the plurality of conducting wires based on the selection signal and to output the random signal through the at least one conducting wire, and (iii) a receiving circuit configured to detect an invasive attack on the integrated circuit based on signal received through the at least one conducting wire.

Abstract: An integrated circuit including: a plurality of physically unclonable function (PUF) cells each configured to generate a cell signal having a unique value; a selector configured to output a first signal obtained by not inverting a cell signal output by a PUF cell selected from the plurality PUF cells and a second signal obtained by inverting the cell signal; and a key generator configured to generate a security key in response to the first signal or the second signal, wherein the selector includes a first conversion circuit configured to generate the first signal and a second conversion circuit having the same structure as the first conversion circuit and configured to generate the second signal.

Abstract: A random number generator including: a first ring oscillator including a first inverter chain, the first inverter chain including a plurality of serially connected first inverters, the first ring oscillator configured to output a first random signal generated at a first sub-node between two neighboring first inverters among the plurality of first inverters; a second ring oscillator including a second inverter chain, the second inverter chain including a plurality of serially connected second inverters, the second ring oscillator configured to output a second random signal generated at a second sub-node between two neighboring second inverters among the plurality of second inverters; and a signal processing circuit for generating a random number by combining the first random signal with the second random signal.

Abstract: A key enrollment method of a physically unclonable function (PUF) circuit including a plurality of PUF cells includes receiving a first level key from PUF cells, performing bit encoding on the first level key using a bit coding table based on Hamming weights of a plurality of bits in the first level key to generate a second level key, storing first helper data associated with the second level key in a non-volatile memory, performing block encoding on the second level key using an error correction code to generate a third level key, and storing second helper data associated with the third level key in the non-volatile memory.

Abstract: A semiconductor device includes a physical unclonable function (PUF) cell array that includes PUF cells outputting first bits; a non-volatile memory that stores marking bits indicating whether the first bits are valid, first mask bits generated by masking second bits depending on parity of the second bits, and second mask bits generated by masking helper bits of the second bits, the second bits are valid bits from the first bits; an extracting unit that extracts the second bits from the first bits using the marking bits; an unmasking unit that unmasks the second bits using the first mask bits while receiving the second bits to provide the third bits; a bit decoding unit that compresses the third bits to fourth bits while receiving the third bits; and a block decoding unit that generates a security key by decoding the fourth bits and the second mask bits.

Abstract: An integrated circuit for a physically unclonable function (PUF) includes first and second PUF cells and a combination circuit. The first and second PUF cells respectively output first and second cell signals having unique levels based on a threshold level of a logic gate. The combination circuit includes a first stage that generates a first combination signal based on the first and second cell signals. The first and second PUF cells respectively include first and second logic gates to respectively output the first and second cell signals. The combination circuit includes a third logic gate that receives the first and second cell signals and outputs the first combination signal. The third logic gate has a same structure as each of the first and second logic gates.

Abstract: A semiconductor device includes a physical unclonable function (PUF) cell array that includes PUF cells outputting first bits; a non-volatile memory that stores marking bits indicating whether the first bits are valid, first mask bits generated by masking second bits depending on parity of the second bits, and second mask bits generated by masking helper bits of the second bits, the second bits are valid bits from the first bits; an extracting unit that extracts the second bits from the first bits using the marking bits; an unmasking unit that unmasks the second bits using the first mask bits while receiving the second bits to provide the third bits; a bit decoding unit that compresses the third bits to fourth bits while receiving the third bits; and a block decoding unit that generates a security key by decoding the fourth bits and the second mask bits.

Abstract: A physical unclonable function (PUF) circuit and a PUF system including the same are provided. The PUF circuit includes a plurality of PUF cells each configured to generate an output voltage by dividing a power voltage, a reference voltage generator configured to generate a first reference voltage by dividing the power voltage, and a comparing unit configured to sequentially compare the output voltages of the plurality of PUF cells with the first reference voltage to output data values of the plurality of PUF cells.

Abstract: An integrated circuit for a physically unclonable function (PUF) includes first and second PUF cells and a combination circuit. The first and second PUF cells respectively output first and second cell signals having unique levels based on a threshold level of a logic gate. The combination circuit includes a first stage that generates a first combination signal based on the first and second cell signals. The first and second PUF cells respectively include first and second logic gates to respectively output the first and second cell signals. The combination circuit includes a third logic gate that receives the first and second cell signals and outputs the first combination signal. The third logic gate has a same structure as each of the first and second logic gates.