Information on Result #683956
Linear OA(595, 159, F5, 41) (dual of [159, 64, 42]-code), using construction X applied to Ce(40) ⊂ Ce(38) based on
- linear OA(594, 157, F5, 41) (dual of [157, 63, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(593, 157, F5, 39) (dual of [157, 64, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 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
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 OA(595, 159, F5, 40) (dual of [159, 64, 41]-code) | [i] | Strength Reduction | |