Information on Result #676535
Linear OA(379, 735, F3, 20) (dual of [735, 656, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(379, 729, F3, 20) (dual of [729, 650, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(373, 729, F3, 19) (dual of [729, 656, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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(388, 767, F3, 20) (dual of [767, 679, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(389, 780, F3, 20) (dual of [780, 691, 21]-code) | [i] | ||
| 3 | Linear OA(390, 798, F3, 20) (dual of [798, 708, 21]-code) | [i] | ||
| 4 | Linear OOA(379, 367, F3, 2, 20) (dual of [(367, 2), 655, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(379, 245, F3, 3, 20) (dual of [(245, 3), 656, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(379, 183, F3, 4, 20) (dual of [(183, 4), 653, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(379, 147, F3, 5, 20) (dual of [(147, 5), 656, 21]-NRT-code) | [i] | ||