Information on Result #684190
Linear OA(583, 147, F5, 38) (dual of [147, 64, 39]-code), using construction X applied to Ce(37) ⊂ Ce(30) based on
- linear OA(574, 125, F5, 38) (dual of [125, 51, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(59, 22, F5, 6) (dual of [22, 13, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 24, F5, 6) (dual of [24, 15, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(59, 24, F5, 6) (dual of [24, 15, 7]-code), 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(583, 147, F5, 37) (dual of [147, 64, 38]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(583, 147, F5, 36) (dual of [147, 64, 37]-code) | [i] | ||
| 3 | Linear OA(581, 145, F5, 36) (dual of [145, 64, 37]-code) | [i] | Truncation | |
| 4 | Linear OA(580, 144, F5, 35) (dual of [144, 64, 36]-code) | [i] | ||