Information on Result #676529
Linear OA(3110, 736, F3, 28) (dual of [736, 626, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OOA(3110, 506, F3, 2, 28) (dual of [(506, 2), 902, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3110, 506, F3, 3, 28) (dual of [(506, 3), 1408, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3110, 506, F3, 4, 28) (dual of [(506, 4), 1914, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3110, 506, F3, 5, 28) (dual of [(506, 5), 2420, 29]-NRT-code) | [i] | ||
| 5 | Digital (82, 110, 506)-net over F3 | [i] | ||
| 6 | Linear OA(3119, 768, F3, 28) (dual of [768, 649, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3120, 780, F3, 28) (dual of [780, 660, 29]-code) | [i] | ||
| 8 | Linear OA(3121, 796, F3, 28) (dual of [796, 675, 29]-code) | [i] | ||
| 9 | Linear OA(3122, 816, F3, 28) (dual of [816, 694, 29]-code) | [i] | ||
| 10 | Linear OA(3123, 840, F3, 28) (dual of [840, 717, 29]-code) | [i] | ||
| 11 | Linear OOA(3110, 368, F3, 2, 28) (dual of [(368, 2), 626, 29]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3110, 245, F3, 3, 28) (dual of [(245, 3), 625, 29]-NRT-code) | [i] | ||
| 13 | Linear OOA(3110, 184, F3, 4, 28) (dual of [(184, 4), 626, 29]-NRT-code) | [i] | ||
| 14 | Linear OOA(3110, 147, F3, 5, 28) (dual of [(147, 5), 625, 29]-NRT-code) | [i] | ||