Information on Result #708812
Linear OA(4192, 1073, F4, 47) (dual of [1073, 881, 48]-code), using construction XX applied to C1 = C([297,340]), C2 = C([304,343]), C3 = C1 + C2 = C([304,340]), and C∩ = C1 ∩ C2 = C([297,343]) based on
- linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,340}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,343}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,343}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4140, 1023, F4, 37) (dual of [1023, 883, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,340}, and designed minimum distance d ≥ |I|+1 = 38 [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(43, 14, F4, 2) (dual of [14, 11, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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.