Information on Result #680953
Linear OA(4258, 1037, F4, 72) (dual of [1037, 779, 73]-code), using construction XX applied to Ce(72) ⊂ Ce(69) ⊂ Ce(68) based on
- linear OA(4256, 1024, F4, 73) (dual of [1024, 768, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(4246, 1024, F4, 70) (dual of [1024, 778, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 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
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.