Patent ID: 7243293

Claim:
A machine-implemented method for generating a code word from a data word in accordance with an (18, 9) DEC-TED code, comprising the steps of: receiving a 9-bit data word representing data to be encoded; and generating an 18-bit code word from the data word in accordance with a linear code defined by the following parity check matrix: β 1 3 ⁢ ⁢ ⁢ β 1 6 ⁢ ⁢ β 1 12 ⁢ ⁢ β 1 7 ⁢ ⁢ ⁢ β 1 14 ⁢ ⁢ β 1 11 ⁢ ⁢ β 1 5 ⁢ ⁢ β 1 1 ⁢ ⁢ β 1 2 ⁢ ⁢ β 1 4 ⁢ ⁢ β 1 8 ⁢ ⁢ ⁢ β 1 16 ⁢ ⁢ β 1 15 ⁢ ⁢ β 1 13 ⁢ ⁢ β 1 9 ⁢ ⁢ ⁢ 0 ⁢ 1 ⁢ ⁢ β 1 10 ⁢ ⁢ 1 1 , where β is a root of the polynomial x 17 −1 in the finite field of 256 elements.