Information on Result #1666921
Linear OOA(2186, 6560, F2, 6, 24) (dual of [(6560, 6), 39174, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2186, 6560, F2, 5, 24) (dual of [(6560, 5), 32614, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2186, 32800, F2, 24) (dual of [32800, 32614, 25]-code), using
- 1 times truncation [i] based on linear OA(2187, 32801, F2, 25) (dual of [32801, 32614, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2181, 32769, F2, 25) (dual of [32769, 32588, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2151, 32769, F2, 21) (dual of [32769, 32618, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,12]) ⊂ C([0,10]) [i] based on
- 1 times truncation [i] based on linear OA(2187, 32801, F2, 25) (dual of [32801, 32614, 26]-code), using
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(2186, 3279, F2, 30, 24) (dual of [(3279, 30), 98184, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |