Information on Result #3250899
Digital (147, 169, 2980)-net over F2, using 22 times duplication based on digital (145, 167, 2980)-net over F2, using
- t-expansion [i] based on digital (144, 167, 2980)-net over F2, using
- net defined by OOA [i] based on linear OOA(2167, 2980, F2, 23, 23) (dual of [(2980, 23), 68373, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2167, 32781, F2, 23) (dual of [32781, 32614, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2167, 32784, F2, 23) (dual of [32784, 32617, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- 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(2151, 32768, F2, 21) (dual of [32768, 32617, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(22) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2167, 32784, F2, 23) (dual of [32784, 32617, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2167, 32781, F2, 23) (dual of [32781, 32614, 24]-code), using
- net defined by OOA [i] based on linear OOA(2167, 2980, F2, 23, 23) (dual of [(2980, 23), 68373, 24]-NRT-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.