Information on Result #619645
Linear OA(12823, 129, F128, 23) (dual of [129, 106, 24]-code or 129-arc in PG(22,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(1641, 129, S16, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3233, 129, S32, 23) | [i] | ||
| 3 | OA(6427, 129, S64, 23) | [i] | ||
| 4 | Linear OA(12875, 345, F128, 47) (dual of [345, 270, 48]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12874, 345, F128, 46) (dual of [345, 271, 47]-code) | [i] | ||
| 6 | Linear OA(12878, 417, F128, 46) (dual of [417, 339, 47]-code) | [i] | ||
| 7 | Linear OA(12841, 387, F128, 23) (dual of [387, 346, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(12833, 140, F128, 23) (dual of [140, 107, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |