Information on Result #1550266
Linear OOA(5134, 3074, F5, 3, 33) (dual of [(3074, 3), 9088, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5134, 3074, F5, 33) (dual of [3074, 2940, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(5134, 3139, F5, 33) (dual of [3139, 3005, 34]-code), using
- 2 times code embedding in larger space [i] based on linear OA(5132, 3137, F5, 33) (dual of [3137, 3005, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- linear OA(5131, 3126, F5, 33) (dual of [3126, 2995, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(51, 11, F5, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(5132, 3137, F5, 33) (dual of [3137, 3005, 34]-code), 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(5134, 512, F5, 39, 33) (dual of [(512, 39), 19834, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |