Abstract: Methods and apparatus for code-based asymmetric cryptosystem using Quasi-Cyclic Moderate-Density Parity-Check (QC-MDPC) error correcting codes. Specifically, the method and apparatus generalizes the framework of (QC-MDPC) Code-Based (CB) cryptography from the binary domain (Galois Field of two elements) to an arbitrary size of Galois Field and provides an apparatus for implementing the cryptosystem with a simplified computational complexity of key generation, encryption, and decryption components of the cryptosystems and reduced sizes of the public and private security keys.

Abstract: Methods and apparatus for code-based asymmetric cryptosystem using Quasi-Cyclic Moderate-Density Parity-Check (QC-MDPC) error correcting codes. Specifically, the method and apparatus generalizes the framework of (QC-MDPC) Code-Based (CB) cryptography from the binary domain (Galois Field of two elements) to an arbitrary size of Galois Field and provides an apparatus for implementing the cryptosystem with a simplified computational complexity of key generation, encryption, and decryption components of the cryptosystems and reduced sizes of the public and private security keys.

Abstract: A method and apparatus for encoding data and for decoding data using LDPC (low density parity check) codes includes providing a mother LDPC matrix of a particular size. A data payload of a smaller size is encoded by shortening the mother matrix to a smaller daughter matrix corresponding in size to the data payload and using the smaller daughter matrix for the encoding. The portions of the mother matrix to be removed in the shortening are derived from a control signal. The encoded data is transmitted with the control signal so that the receiver can derive the portions of the mother matrix to be removed to obtain the daughter matrix. At the receiver, a mother matrix is shortened to a daughter matrix and is then used to decode the data. The data at the encoder may be further reduced by puncturing to remove selected information bits and selected parity bits. The decoder inserts the selected information bits and parity bits when decoding the data.

Abstract: A method and apparatus for encoding data and for decoding data using LDPC (low density parity check) codes includes providing a mother LDPC matrix of a particular size. A data payload of a smaller size is encoded by shortening the mother matrix to a smaller daughter matrix corresponding in size to the data payload and using the smaller daughter matrix for the encoding. The portions of the mother matrix to be removed in the shortening are derived from a control signal. The encoded data is transmitted with the control signal so that the receiver can derive the portions of the mother matrix to be removed to obtain the daughter matrix. At the receiver, a mother matrix is shortened to a daughter matrix and is then used to decode the data. The data at the encoder may be further reduced by puncturing to remove selected information bits and selected parity bits. The decoder inserts the selected information bits and parity bits when decoding the data.

Abstract: A method and apparatus for encoding data and for decoding data using LDPC (low density parity check) codes includes providing a mother LDPC matrix of a particular size. A data payload of a smaller size is encoded by shortening the mother matrix to a smaller daughter matrix corresponding in size to the data payload and using the smaller daughter matrix for the encoding. The portions of the mother matrix to be removed in the shortening are derived from a control signal. The encoded data is transmitted with the control signal so that the receiver can derive the portions of the mother matrix to be removed to obtain the daughter matrix. At the receiver, a mother matrix is shortened to a daughter matrix and is then used to decode the data. The data at the encoder may be further reduced by puncturing to remove selected information bits and selected parity bits. The decoder inserts the selected information bits and parity bits when decoding the data.

Abstract: A method and apparatus for encoding data and for decoding data using LDPC (low density parity check) codes includes providing a mother LDPC matrix of a particular size. A data payload of a smaller size is encoded by shortening the mother matrix to a smaller daughter matrix corresponding in size to the data payload and using the smaller daughter matrix for the encoding. The portions of the mother matrix to be removed in the shortening are derived from a control signal. The encoded data is transmitted with the control signal so that the receiver can derive the portions of the mother matrix to be removed to obtain the daughter matrix. At the receiver, a mother matrix is shortened to a daughter matrix and is then used to decode the data. The data at the encoder may be further reduced by puncturing to remove selected information bits and selected parity bits. The decoder inserts the selected information bits and parity bits when decoding the data.

Abstract: The invention relates to a system and method for localization positioning in lighting systems. At least two of a Time Difference of Arrival (TDOA), Angle of Arrival (AOA), Received Signal Strength Index (RSSI) and a Position Estimation Algorithm with unified TDOA and RSSI are used to obtain localization positioning. The schemes introduce a maximum-likelihood estimation strategy incorporating a partial derivative matrix for each lighting unit using at least two reference nodes in order to achieve higher accuracy.

Abstract: The invention relates to a system and method for localization positioning in lighting systems. At least two of a Time Difference of Arrival (TDOA), Angle of Arrival (AOA), Received Signal Strength Index (RSSI) and a Position Estimation Algorithm with unified TDOA and RSSI are used to obtain localization positioning. The schemes introduce a maximum-likelihood estimation strategy incorporating a partial derivative matrix for each lighting unit using at least two reference nodes in order to achieve higher accuracy.