Code transmission scheme for communication system using error correcting codes

A reception device for receiving an error correcting code corresponding to an information to be transmitted in a communication system, comprising:

• a reception unit configured to receive at least a part of at least one information packet containing the information to be transmitted and at least one redundant packet containing as many transmitting side syndrome values as a number corresponding to a desired error correction capability using said number of mutually different polynomials of degree one for the information to be transmitted as calculated by a transmitting, side, such that the desired error correction capability is increased by increasing said number of mutually different polynomials of degree one;
• a calculation unit configured to obtain at least one receiving side syndrome value by carrying out a syndrome calculation for an information contained in the information packet as received by the reception unit;
• and
• a correction unit configured to perform error correction, if required, by calculating a difference between each transmitting side syndrome value contained in the redundant packet as received by the reception unit and each receiving side syndrome value obtained by the calculation unit.

A communication system for transmitting an error correcting code corresponding to an information to be transmitted, comprising:

• a generation unit configured to generate as many transmitting side syndrome values as a number corresponding to a desired error correction capability using said number of mutually different polynomials of degree one, by carrying out a syndrome calculation for the information to be transmitted at a transmitting side, such that the desired error correction capability is increased by increasing said number of mutually different polynomials of degree one;
• a transmission unit configured to transmit, from the transmitting side to a receiving side, at least one information packet containing the information to be transmitted and at least one redundant packet containing the transmitting side syndrome values generated by the generation unit as a redundant part of the error correcting code;
• a reception unit configured to receive at least a part of the information packet and the redundant packet transmitted by the transmission unit;
• a calculation unit configured to obtain at least one receiving side syndrome value by carrying out a syndrome calculation for an information contained in the information packet as received by the reception unit;
• and
• a correction unit configured to perform error correction, if required, by calculating a difference between each transmitting side syndrome value contained in the redundant packet as received by the reception unit and each receiving side syndrome value obtained by the calculation unit.