Information on Result #619841
Linear OA(25655, 65548, F256, 23) (dual of [65548, 65493, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
- linear OA(25645, 65537, F256, 23) (dual of [65537, 65492, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(25644, 65537, F256, 12) (dual of [65537, 65493, 13]-code), using the narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [1,11], and minimum distance d ≥ |{−11,−9,−7,…,11}|+1 = 13 (BCH-bound) [i]
- linear OA(25610, 11, F256, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,256)), using
- dual of repetition code with length 11 [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 OOA(25655, 53026, F256, 2, 23) (dual of [(53026, 2), 105997, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25655, 53026, F256, 3, 23) (dual of [(53026, 3), 159023, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(25655, 53026, F256, 4, 23) (dual of [(53026, 4), 212049, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(25655, 53026, F256, 5, 23) (dual of [(53026, 5), 265075, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(25655, 53026, F256, 6, 23) (dual of [(53026, 6), 318101, 24]-NRT-code) | [i] | ||
| 6 | Digital (32, 55, 53026)-net over F256 | [i] | ||