Information on Result #676519
Linear OA(3167, 736, F3, 43) (dual of [736, 569, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) based on
- linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3160, 729, F3, 41) (dual of [729, 569, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(3171, 756, F3, 43) (dual of [756, 585, 44]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(3167, 368, F3, 2, 43) (dual of [(368, 2), 569, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3167, 245, F3, 3, 43) (dual of [(245, 3), 568, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3167, 184, F3, 4, 43) (dual of [(184, 4), 569, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(3167, 147, F3, 5, 43) (dual of [(147, 5), 568, 44]-NRT-code) | [i] | ||