Information on Result #1132634
Linear OOA(2223, 5470, F2, 6, 28) (dual of [(5470, 6), 32597, 29]-NRT-code), using OOA 6-folding based on linear OA(2223, 32820, F2, 28) (dual of [32820, 32597, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2223, 32825, F2, 28) (dual of [32825, 32602, 29]-code), using
- 1 times truncation [i] based on linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2166, 32768, F2, 23) (dual of [32768, 32602, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 58, F2, 5) (dual of [58, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-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.