Information on Result #709594
Linear OA(4257, 1072, F4, 65) (dual of [1072, 815, 66]-code), using construction XX applied to C1 = C([288,349]), C2 = C([285,342]), C3 = C1 + C2 = C([288,342]), and C∩ = C1 ∩ C2 = C([285,349]) based on
- linear OA(4231, 1023, F4, 62) (dual of [1023, 792, 63]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,349}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {285,286,…,342}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(4241, 1023, F4, 65) (dual of [1023, 782, 66]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {285,286,…,349}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,342}, and designed minimum distance d ≥ |I|+1 = 56 [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, 13, F4, 2) (dual of [13, 10, 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.