Information on Result #685616
Linear OA(768, 179, F7, 29) (dual of [179, 111, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) 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(761, 172, F7, 24) (dual of [172, 111, 25]-code), using an extension Ce(23) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
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(767, 178, F7, 28) (dual of [178, 111, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(766, 177, F7, 27) (dual of [177, 111, 28]-code) | [i] | ||
| 3 | Linear OA(765, 176, F7, 26) (dual of [176, 111, 27]-code) | [i] | ||
| 4 | Linear OOA(768, 89, F7, 2, 29) (dual of [(89, 2), 110, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(768, 59, F7, 3, 29) (dual of [(59, 3), 109, 30]-NRT-code) | [i] | ||