Information on Result #684041
Linear OA(568, 135, F5, 31) (dual of [135, 67, 32]-code), using construction X applied to Ce(30) ⊂ Ce(23) based on
- 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(558, 125, F5, 24) (dual of [125, 67, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(57, 10, F5, 6) (dual of [10, 3, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 7]-code), using
- 1 times truncation [i] based on linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 11, F5, 6) (dual of [11, 4, 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(567, 134, F5, 30) (dual of [134, 67, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(566, 133, F5, 29) (dual of [133, 67, 30]-code) | [i] | ||
| 3 | Linear OOA(568, 67, F5, 2, 31) (dual of [(67, 2), 66, 32]-NRT-code) | [i] | OOA Folding | |