Information on Result #1436564
Linear OOA(545, 2704, F5, 2, 11) (dual of [(2704, 2), 5363, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(545, 2704, F5, 11) (dual of [2704, 2659, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(545, 3140, F5, 11) (dual of [3140, 3095, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [i] based on
- linear OA(541, 3126, F5, 11) (dual of [3126, 3085, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(531, 3126, F5, 7) (dual of [3126, 3095, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- construction X applied to C([0,5]) ⊂ C([0,3]) [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(545, 1352, F5, 3, 11) (dual of [(1352, 3), 4011, 12]-NRT-code) | [i] | OOA Folding | |