Information on Result #1304247
Linear OA(362, 136, F3, 21) (dual of [136, 74, 22]-code), using 8 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 1, 4 times 0) based on linear OA(360, 126, F3, 21) (dual of [126, 66, 22]-code), using
- construction X applied to C({1,4,7,8,10,13,16,19,20,22,25,26}) ⊂ C({1,4,7,8,10,13,16,19,22,25,26}) [i] based on
- linear OA(360, 121, F3, 21) (dual of [121, 61, 22]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,20,22,25,26}, and minimum distance d ≥ |{10,30,50,…,47}|+1 = 22 (BCH-bound) [i]
- linear OA(355, 121, F3, 20) (dual of [121, 66, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,22,25,26}, and minimum distance d ≥ |{10,30,50,…,27}|+1 = 21 (BCH-bound) [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.