Information on Result #1549290
Linear OOA(5113, 11580, F5, 3, 23) (dual of [(11580, 3), 34627, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5113, 11580, F5, 23) (dual of [11580, 11467, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5113, 15647, F5, 23) (dual of [15647, 15534, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(22) ⊂ Ce(18) [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(5113, 2894, F5, 27, 23) (dual of [(2894, 27), 78025, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |