Information on Result #676520
Linear OA(3160, 735, F3, 41) (dual of [735, 575, 42]-code), using construction X applied to Ce(40) ⊂ Ce(39) based on
- 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(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(3164, 752, F3, 41) (dual of [752, 588, 42]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3165, 763, F3, 41) (dual of [763, 598, 42]-code) | [i] | ||
| 3 | Linear OA(3166, 778, F3, 41) (dual of [778, 612, 42]-code) | [i] | ||
| 4 | Linear OA(3167, 796, F3, 41) (dual of [796, 629, 42]-code) | [i] | ||
| 5 | Linear OA(3168, 816, F3, 41) (dual of [816, 648, 42]-code) | [i] | ||
| 6 | Linear OA(3169, 838, F3, 41) (dual of [838, 669, 42]-code) | [i] | ||
| 7 | Linear OOA(3160, 367, F3, 2, 41) (dual of [(367, 2), 574, 42]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3160, 245, F3, 3, 41) (dual of [(245, 3), 575, 42]-NRT-code) | [i] | ||
| 9 | Linear OOA(3160, 183, F3, 4, 41) (dual of [(183, 4), 572, 42]-NRT-code) | [i] | ||
| 10 | Linear OOA(3160, 147, F3, 5, 41) (dual of [(147, 5), 575, 42]-NRT-code) | [i] | ||