Device for encoding and decoding using smaller block of symbols

A method of decoding a codevector of an error correcting code (ECC) into user data, the codevector having been generated from a codeword comprising a first block and a second block by selecting a user data portion of user data symbols from the first block and selecting a parity portion of parity symbols from the second block, the first block including the user data symbols and dummy data symbols, and the second block including the parity symbols, the method comprising the acts of:

• generating the codeword comprising the dummy data symbols, the codevector and filling symbols, wherein a sum of a number of the dummy data symbols, a number of the filling symbols and a number of symbols in the codevector is equal to said a sum of symbols in the codeword;
• and
• decoding the codeword using an ECC decoder to obtain the user data symbols embedded in the codevector.

A device for decoding a codevector of an error correcting code (ECC) into user data, the codevector having been generated from a codeword comprising a first block and a second block by selecting a user data portion of user data symbols from the first block and selecting a parity portion of parity symbols from the second block, the first block including the user data symbols and dummy data symbols, and the second block including the parity symbols, the device comprising:

• a generator configured to generate the codeword comprising the dummy data symbols, the codevector and filling symbols, wherein a sum of a number of the dummy data symbols, a number of the filling symbols and a number of symbols in the codevector is equal to said a sum of symbols in the codeword;
• and
• a decoder configured to decode the codeword to obtain the user data symbols embedded in the codevector.

A non-transitory computer readable medium comprising computer instructions which, when executed by a processor, configure the processor to perform a method of decoding a codevector of an error correcting code (ECC) into user data, the codevector having been generated from a codeword comprising a first block and a second block by selecting a user data portion of user data symbols from the first block and selecting a parity portion of parity symbols from the second block, the first block including the user data symbols and dummy data symbols, and the second block including the parity symbols, the method comprising the acts of:

• generating the codeword comprising the dummy data symbols, the codevector and filling symbols, wherein a sum of a number of the dummy data symbols, a number of the filling symbols and a number of symbols in the codevector is equal to said a sum of symbols in the codeword;
• and
• decoding the codeword using an ECC decoder to obtain the user data symbols embedded in the codevector.

A device for encoding an information word into a codeword, the device comprising:

• an encoder configured to receive the information word and a matrix, the encoder being further configured to encode the information word comprising k information symbols using the matrix comprising k rows and n+k columns for output of an intermediate codeword having k+n symbols;
• and
• a codeword generator configured to receive the intermediate codeword and output the codeword by omitting a number of symbols of the intermediate codeword.