Information on Result #1806329
Digital (26, 54, 359)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2754, 359, F27, 2, 28) (dual of [(359, 2), 664, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2754, 366, F27, 2, 28) (dual of [(366, 2), 678, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2754, 732, F27, 28) (dual of [732, 678, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- 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(2751, 729, F27, 26) (dual of [729, 678, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 3, F27, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(2754, 732, F27, 28) (dual of [732, 678, 29]-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.