Information on Result #737730
Linear OA(570, 141, F5, 30) (dual of [141, 71, 31]-code), using construction XX applied to Ce(30) ⊂ Ce(22) ⊂ Ce(21) 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(555, 125, F5, 23) (dual of [125, 70, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(58, 15, F5, 6) (dual of [15, 7, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 17, F5, 6) (dual of [17, 9, 7]-code), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OOA(570, 70, F5, 2, 30) (dual of [(70, 2), 70, 31]-NRT-code) | [i] | OOA Folding | |