Information on Result #733592
Linear OA(2739, 20394, F27, 11) (dual of [20394, 20355, 12]-code), using (u, u+v)-construction based on
- linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- linear OA(2732, 19691, F27, 11) (dual of [19691, 19659, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(2731, 19684, F27, 11) (dual of [19684, 19653, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2725, 19684, F27, 9) (dual of [19684, 19659, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 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: Constructive and 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(2739, 10197, F27, 2, 11) (dual of [(10197, 2), 20355, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2739, 4078, F27, 11, 11) (dual of [(4078, 11), 44819, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |