Information on Result #614740
Linear OA(7109, 172, F7, 57) (dual of [172, 63, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 172 | 76−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound)
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
- Extended Narrow-Sense BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7109, 172, F7, 56) (dual of [172, 63, 57]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7109, 172, F7, 55) (dual of [172, 63, 56]-code) | [i] | ||
| 3 | Linear OA(7109, 172, F7, 54) (dual of [172, 63, 55]-code) | [i] | ||
| 4 | Linear OA(7109, 172, F7, 53) (dual of [172, 63, 54]-code) | [i] | ||
| 5 | Linear OA(7109, 172, F7, 52) (dual of [172, 63, 53]-code) | [i] | ||
| 6 | Linear OA(7109, 172, F7, 51) (dual of [172, 63, 52]-code) | [i] | ||
| 7 | Linear OA(7109, 172, F7, 50) (dual of [172, 63, 51]-code) | [i] | ||
| 8 | Linear OOA(7109, 86, F7, 2, 57) (dual of [(86, 2), 63, 58]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(7109, 57, F7, 3, 57) (dual of [(57, 3), 62, 58]-NRT-code) | [i] | ||