Information on Result #1709624
Digital (62, 78, 267)-net over F2, using net defined by OOA based on linear OOA(278, 267, F2, 24, 16) (dual of [(267, 24), 6330, 17]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(278, 268, F2, 8, 16) (dual of [(268, 8), 2066, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(278, 268, F2, 2, 16) (dual of [(268, 2), 458, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(278, 536, F2, 16) (dual of [536, 458, 17]-code), using
- 1 times truncation [i] based on linear OA(279, 537, F2, 17) (dual of [537, 458, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(273, 513, F2, 17) (dual of [513, 440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(255, 513, F2, 13) (dual of [513, 458, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-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(279, 537, F2, 17) (dual of [537, 458, 18]-code), using
- OOA 2-folding [i] based on linear OA(278, 536, F2, 16) (dual of [536, 458, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(278, 268, F2, 2, 16) (dual of [(268, 2), 458, 17]-NRT-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.