Information on Result #1806348
Digital (26, 55, 323)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2755, 323, F27, 2, 29) (dual of [(323, 2), 591, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2755, 365, F27, 2, 29) (dual of [(365, 2), 675, 30]-NRT-code), using
- 271 times duplication [i] based on linear OOA(2754, 365, F27, 2, 29) (dual of [(365, 2), 676, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2754, 730, F27, 29) (dual of [730, 676, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2754, 729, F27, 29) (dual of [729, 675, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(2754, 730, F27, 29) (dual of [730, 676, 30]-code), using
- 271 times duplication [i] based on linear OOA(2754, 365, F27, 2, 29) (dual of [(365, 2), 676, 30]-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.