Information on Result #708281
Linear OA(4147, 1073, F4, 35) (dual of [1073, 926, 36]-code), using construction XX applied to C1 = C([309,340]), C2 = C([316,343]), C3 = C1 + C2 = C([316,340]), and C∩ = C1 ∩ C2 = C([309,343]) based on
- linear OA(4120, 1023, F4, 32) (dual of [1023, 903, 33]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,340}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4106, 1023, F4, 28) (dual of [1023, 917, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {316,317,…,343}, and designed minimum distance d ≥ |I|+1 = 29 [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(495, 1023, F4, 25) (dual of [1023, 928, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {316,317,…,340}, and designed minimum distance d ≥ |I|+1 = 26 [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.