Information on Result #837649
Linear OOA(5145, 1575, F5, 2, 35) (dual of [(1575, 2), 3005, 36]-NRT-code), using OOA 2-folding based on linear OA(5145, 3150, F5, 35) (dual of [3150, 3005, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,15]) [i] based on
- linear OA(5141, 3126, F5, 35) (dual of [3126, 2985, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
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(5147, 1576, F5, 2, 35) (dual of [(1576, 2), 3005, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5146, 1575, F5, 2, 35) (dual of [(1575, 2), 3004, 36]-NRT-code) | [i] | OOA Duplication | |