Information on Result #1715812
Digital (131, 159, 1386)-net over F3, using net defined by OOA based on linear OOA(3159, 1386, F3, 35, 28) (dual of [(1386, 35), 48351, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3159, 4159, F3, 5, 28) (dual of [(4159, 5), 20636, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 4160, F3, 5, 28) (dual of [(4160, 5), 20641, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3159, 4160, F3, 28) (dual of [4160, 4001, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3159, 6576, F3, 28) (dual of [6576, 6417, 29]-code), using
- (u, u+v)-construction [i] based on
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(3159, 6576, F3, 28) (dual of [6576, 6417, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3159, 4160, F3, 28) (dual of [4160, 4001, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(3159, 4160, F3, 5, 28) (dual of [(4160, 5), 20641, 29]-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.