Information on Result #1437230
Linear OOA(575, 2895, F5, 2, 18) (dual of [(2895, 2), 5715, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(575, 2895, F5, 18) (dual of [2895, 2820, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [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(575, 1447, F5, 3, 18) (dual of [(1447, 3), 4266, 19]-NRT-code) | [i] | OOA Folding | |