Information on Result #807486
Linear OOA(2190, 4113, F2, 2, 29) (dual of [(4113, 2), 8036, 30]-NRT-code), using OOA 2-folding based on linear OA(2190, 8226, F2, 29) (dual of [8226, 8036, 30]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2189, 8225, F2, 29) (dual of [8225, 8036, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(2183, 8193, F2, 29) (dual of [8193, 8010, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2157, 8193, F2, 25) (dual of [8193, 8036, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
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(2190, 4113, F2, 2, 28) (dual of [(4113, 2), 8036, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2192, 4114, F2, 2, 29) (dual of [(4114, 2), 8036, 30]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2194, 4115, F2, 2, 29) (dual of [(4115, 2), 8036, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2191, 4113, F2, 2, 29) (dual of [(4113, 2), 8035, 30]-NRT-code) | [i] | OOA Duplication | |