Information on Result #676523
Linear OA(3143, 736, F3, 37) (dual of [736, 593, 38]-code), using construction X applied to Ce(36) ⊂ Ce(34) based on
- linear OA(3142, 729, F3, 37) (dual of [729, 587, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3151, 766, F3, 37) (dual of [766, 615, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3152, 778, F3, 37) (dual of [778, 626, 38]-code) | [i] | ||
| 3 | Linear OA(3153, 793, F3, 37) (dual of [793, 640, 38]-code) | [i] | ||
| 4 | Linear OA(3154, 811, F3, 37) (dual of [811, 657, 38]-code) | [i] | ||
| 5 | Linear OOA(3143, 368, F3, 2, 37) (dual of [(368, 2), 593, 38]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3143, 245, F3, 3, 37) (dual of [(245, 3), 592, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(3143, 184, F3, 4, 37) (dual of [(184, 4), 593, 38]-NRT-code) | [i] | ||
| 8 | Linear OOA(3143, 147, F3, 5, 37) (dual of [(147, 5), 592, 38]-NRT-code) | [i] | ||