Information on Result #1739918
Digital (80, 108, 45062)-net over F27, using net defined by OOA based on linear OOA(27108, 45062, F27, 30, 28) (dual of [(45062, 30), 1351752, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(27108, 315435, F27, 2, 28) (dual of [(315435, 2), 630762, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27108, 315438, F27, 2, 28) (dual of [(315438, 2), 630768, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27108, 315438, F27, 28) (dual of [315438, 315330, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(27108, 531456, F27, 28) (dual of [531456, 531348, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- linear OA(27105, 531441, F27, 28) (dual of [531441, 531336, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(273, 15, F27, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,27) or 15-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(27108, 531456, F27, 28) (dual of [531456, 531348, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27108, 315438, F27, 28) (dual of [315438, 315330, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(27108, 315438, F27, 2, 28) (dual of [(315438, 2), 630768, 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.