Information on Result #685654
Linear OA(777, 185, F7, 33) (dual of [185, 108, 34]-code), using construction X applied to Ce(32) ⊂ Ce(28) based on
- linear OA(773, 172, F7, 33) (dual of [172, 99, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), 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(778, 186, F7, 33) (dual of [186, 108, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(779, 187, F7, 33) (dual of [187, 108, 34]-code) | [i] | ||
| 3 | Linear OA(776, 184, F7, 32) (dual of [184, 108, 33]-code) | [i] | Truncation | |
| 4 | Linear OA(775, 183, F7, 31) (dual of [183, 108, 32]-code) | [i] | ||