Information on Result #1750107
Digital (78, 100, 257)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2100, 257, F2, 2, 22) (dual of [(257, 2), 414, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2100, 260, F2, 2, 22) (dual of [(260, 2), 420, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2100, 520, F2, 22) (dual of [520, 420, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2100, 521, F2, 22) (dual of [521, 421, 23]-code), using
- 1 times truncation [i] based on linear OA(2101, 522, F2, 23) (dual of [522, 421, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2100, 512, F2, 23) (dual of [512, 412, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(291, 512, F2, 21) (dual of [512, 421, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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
- 1 times truncation [i] based on linear OA(2101, 522, F2, 23) (dual of [522, 421, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2100, 521, F2, 22) (dual of [521, 421, 23]-code), using
- OOA 2-folding [i] based on linear OA(2100, 520, F2, 22) (dual of [520, 420, 23]-code), using
Mode: 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.