Information on Result #640872
Linear OA(3249, 278, F3, 127) (dual of [278, 29, 128]-code), using juxtaposition based on
- linear OA(38, 37, F3, 4) (dual of [37, 29, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- linear OA(3212, 241, F3, 122) (dual of [241, 29, 123]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,121], and designed minimum distance d ≥ |I|+1 = 123 [i]
- discarding factors / shortening the dual code based on linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.