Information on Result #708582
Linear OA(4162, 1059, F4, 41) (dual of [1059, 897, 42]-code), using construction XX applied to C1 = C([311,349]), C2 = C([309,343]), C3 = C1 + C2 = C([311,343]), and C∩ = C1 ∩ C2 = C([309,349]) based on
- linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,349}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,343}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,349}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4126, 1023, F4, 33) (dual of [1023, 897, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,343}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.
Other Results with Identical Parameters
None.
Depending Results
None.