Information on Result #1749943
Digital (78, 94, 747)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(294, 747, F2, 2, 16) (dual of [(747, 2), 1400, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(294, 1038, F2, 2, 16) (dual of [(1038, 2), 1982, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(294, 2076, F2, 16) (dual of [2076, 1982, 17]-code), using
- 1 times truncation [i] based on linear OA(295, 2077, F2, 17) (dual of [2077, 1982, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(289, 2049, F2, 17) (dual of [2049, 1960, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- 1 times truncation [i] based on linear OA(295, 2077, F2, 17) (dual of [2077, 1982, 18]-code), using
- OOA 2-folding [i] based on linear OA(294, 2076, F2, 16) (dual of [2076, 1982, 17]-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.