Abstract: An apparatus for performing a fault detection operation and methods thereof are provided. The example apparatus may include a first-coordinate computing unit receiving a first point and a second point in a binary finite field, the first and second points established based on a basic point within a given elliptic curve, each of the first and second points including a first coordinate value and a second coordinate value, the first-coordinate computing unit performing a first addition operation on the first point and the second point to compute a third coordinate value and a second-coordinate computing unit performing a second addition operation on the first and second points to compute a fourth coordinate value, the first and second addition operations computed based on at least one of a difference between the first coordinate values of the first and second points and a difference between the second coordinate values of the first and second points.

Abstract: A cryptographic system for encrypting input data in accordance with an encryption algorithm having a repeated-round structure may include an encryption unit updating and storing encrypted data in accordance with the encryption algorithm in each given round, and outputting the encrypted data after executing the encryption for a given number of rounds. The system may include a compensation unit generating and storing compensation data so that a sum of a Hamming distance for the updated and stored data and a Hamming distance of the compensation data is maintained at a constant value.

Abstract: An apparatus for performing a fault detection operation and methods thereof are provided. The example apparatus may include a first-coordinate computing unit receiving a first point and a second point in a binary finite field, the first and second points established based on a basic point within a given elliptic curve, each of the first and second points including a first coordinate value and a second coordinate value, the first-coordinate computing unit performing a first addition operation on the first point and the second point to compute a third coordinate value and a second-coordinate computing unit performing a second addition operation on the first and second points to compute a fourth coordinate value, the first and second addition operations computed based on at least one of a difference between the first coordinate values of the first and second points and a difference between the second coordinate values of the first and second points.

Abstract: A cryptographic system for encrypting input data in accordance with an encryption algorithm having a repeated-round structure may include an encryption unit updating and storing encrypted data in accordance with the encryption algorithm in each given round, and outputting the encrypted data after executing the encryption for a given number of rounds. The system may include a compensation unit generating and storing compensation data so that a sum of a Hamming distance for the updated and stored data and a Hamming distance of the compensation data is maintained at a constant value.

Abstract: The present invention discloses golf shoes comprising outsoles including multiple jointing holes installing spikes respectively, uppers sewed or adhered with the outer circumstance of the top of the outsoles, and midsoles and insoles stacked sequentially to the outsoles within the uppers, wherein the protrusions 12 and 12? are protruded from the surroundings of the jointing holes 11 and 11? formed at the outsoles 10 and 10? of the golf shoes and protruded more and more form the inside to the outside direction to have a slope from the outside to the inside direction, the inside of the toe of the right outsole 10? is rounded to make rotation of the right golf shoe smooth at the finish step, and the outsole 10 of the left golf shoe, making a role of a prop at the finish step, is wider than the outsole 10? of the right golf shoe to widen the contact area with the ground in maximum.