Information on Result #680994
Linear OA(4231, 1045, F4, 60) (dual of [1045, 814, 61]-code), using construction XX applied to Ce(60) ⊂ Ce(56) ⊂ Ce(54) based on
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4211, 1024, F4, 57) (dual of [1024, 813, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4206, 1024, F4, 55) (dual of [1024, 818, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 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
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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.