Information on Result #1806514
Digital (30, 63, 362)-net over F27, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2763, 362, F27, 2, 33) (dual of [(362, 2), 661, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2763, 367, F27, 2, 33) (dual of [(367, 2), 671, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2763, 734, F27, 33) (dual of [734, 671, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(2762, 729, F27, 33) (dual of [729, 667, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2758, 729, F27, 31) (dual of [729, 671, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 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(32) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(2763, 734, F27, 33) (dual of [734, 671, 34]-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.