Information on Result #1314817
Linear OA(2751, 790, F27, 23) (dual of [790, 739, 24]-code), using 50 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 0, 1, 11 times 0, 1, 33 times 0) based on linear OA(2746, 735, F27, 23) (dual of [735, 689, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(2745, 730, F27, 23) (dual of [730, 685, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2741, 730, F27, 21) (dual of [730, 689, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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
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(2751, 790, F27, 2, 23) (dual of [(790, 2), 1529, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (28, 51, 790)-net over F27 | [i] | ||
| 3 | Linear OOA(2751, 395, F27, 2, 23) (dual of [(395, 2), 739, 24]-NRT-code) | [i] | OOA Folding | |