Information on Result #681735
Linear OA(4119, 263, F4, 42) (dual of [263, 144, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(40) ⊂ Ce(38) based on
- linear OA(4117, 256, F4, 42) (dual of [256, 139, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4113, 256, F4, 41) (dual of [256, 143, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4109, 256, F4, 39) (dual of [256, 147, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.