Information on Result #673881
Linear OA(2107, 295, F2, 24) (dual of [295, 188, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(18) ⊂ Ce(16) based on
- linear OA(293, 256, F2, 25) (dual of [256, 163, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(265, 256, F2, 17) (dual of [256, 191, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(212, 37, F2, 4) (dual of [37, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 63, F2, 4) (dual of [63, 51, 5]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(212, 63, F2, 4) (dual of [63, 51, 5]-code), using
- linear OA(21, 2, F2, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- Reed–Solomon code RS(1,2) [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.