Information on Result #1457867
Linear OOA(2725, 793, F27, 2, 11) (dual of [(793, 2), 1561, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2725, 793, F27, 11) (dual of [793, 768, 12]-code), using
- 55 step Varšamov–Edel lengthening with (ri) = (2, 8 times 0, 1, 45 times 0) [i] based on linear OA(2722, 735, F27, 11) (dual of [735, 713, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(2721, 730, F27, 11) (dual of [730, 709, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2717, 730, F27, 9) (dual of [730, 713, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [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 C([0,5]) ⊂ C([0,4]) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2725, 264, F27, 14, 11) (dual of [(264, 14), 3671, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |