Information on Result #1551087
Linear OOA(5149, 195325, F5, 3, 23) (dual of [(195325, 3), 585826, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(5149, 195325, F5, 2, 23) (dual of [(195325, 2), 390501, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5149, 390650, F5, 23) (dual of [390650, 390501, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5149, 390651, F5, 23) (dual of [390651, 390502, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(5145, 390625, F5, 23) (dual of [390625, 390480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(5149, 390651, F5, 23) (dual of [390651, 390502, 24]-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(5149, 48831, F5, 27, 23) (dual of [(48831, 27), 1318288, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |