Information on Result #700886
Linear OA(366, 127, F3, 23) (dual of [127, 61, 24]-code), using construction X applied to C({1,4,7,8,10,13,16,19,20,22,25,26,31}) ⊂ C({1,4,7,8,10,13,16,19,20,22,25,26}) based on
- linear OA(365, 121, F3, 23) (dual of [121, 56, 24]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,20,22,25,26,31}, and minimum distance d ≥ |{−30,−10,10,…,47}|+1 = 24 (BCH-bound) [i]
- 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(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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.