Information on Result #1182250
Digital (157, 181, 2731)-net over F2, using net defined by OOA based on linear OOA(2181, 2731, F2, 24, 24) (dual of [(2731, 24), 65363, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(2181, 32772, F2, 24) (dual of [32772, 32591, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2181, 32783, F2, 24) (dual of [32783, 32602, 25]-code), using
- 1 times truncation [i] based on linear OA(2182, 32784, F2, 25) (dual of [32784, 32602, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2181, 32768, F2, 25) (dual of [32768, 32587, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(21, 16, F2, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2182, 32784, F2, 25) (dual of [32784, 32602, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2181, 32783, F2, 24) (dual of [32783, 32602, 25]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.