Information on Result #1739880
Digital (58, 86, 2769)-net over F27, using net defined by OOA based on linear OOA(2786, 2769, F27, 30, 28) (dual of [(2769, 30), 82984, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2786, 19384, F27, 2, 28) (dual of [(19384, 2), 38682, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2786, 19386, F27, 2, 28) (dual of [(19386, 2), 38686, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2786, 19386, F27, 28) (dual of [19386, 19300, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2786, 19711, F27, 28) (dual of [19711, 19625, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(277, 28, F27, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,27)), using
- extended Reed–Solomon code RSe(21,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(2786, 19711, F27, 28) (dual of [19711, 19625, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2786, 19386, F27, 28) (dual of [19386, 19300, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(2786, 19386, F27, 2, 28) (dual of [(19386, 2), 38686, 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.