Information on Result #1465144
Linear OOA(25625, 42968, F256, 2, 11) (dual of [(42968, 2), 85911, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25625, 42968, F256, 11) (dual of [42968, 42943, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, 65542, F256, 11) (dual of [65542, 65517, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([1,5]) [i] based on
- linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(25620, 65537, F256, 6) (dual of [65537, 65517, 7]-code), using the narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [1,5], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(2564, 5, F256, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,256)), using
- dual of repetition code with length 5 [i]
- construction X applied to C([0,5]) ⊂ C([1,5]) [i] based on
Mode: 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(25625, 21484, F256, 4, 11) (dual of [(21484, 4), 85911, 12]-NRT-code) | [i] | OOA Folding | |