Information on Result #685657
Linear OA(772, 189, F7, 29) (dual of [189, 117, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(764, 172, F7, 29) (dual of [172, 108, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(755, 172, F7, 22) (dual of [172, 117, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(78, 17, F7, 6) (dual of [17, 9, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(78, 19, F7, 6) (dual of [19, 11, 7]-code), 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(771, 188, F7, 28) (dual of [188, 117, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(772, 94, F7, 2, 29) (dual of [(94, 2), 116, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(772, 63, F7, 3, 29) (dual of [(63, 3), 117, 30]-NRT-code) | [i] | ||