Information on Result #708326
Linear OA(4150, 1070, F4, 36) (dual of [1070, 920, 37]-code), using construction XX applied to C1 = C([308,341]), C2 = C([315,343]), C3 = C1 + C2 = C([315,341]), and C∩ = C1 ∩ C2 = C([308,343]) based on
- linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {308,309,…,341}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4111, 1023, F4, 29) (dual of [1023, 912, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {315,316,…,343}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {308,309,…,343}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {315,316,…,341}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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.