Information on Result #1685244
Linear OOA(2202, 3647, F2, 7, 28) (dual of [(3647, 7), 25327, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2202, 3647, F2, 4, 28) (dual of [(3647, 4), 14386, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2202, 4104, F2, 4, 28) (dual of [(4104, 4), 16214, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2202, 16416, F2, 28) (dual of [16416, 16214, 29]-code), using
- 1 times truncation [i] based on linear OA(2203, 16417, F2, 29) (dual of [16417, 16214, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(2197, 16385, F2, 29) (dual of [16385, 16188, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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
- 1 times truncation [i] based on linear OA(2203, 16417, F2, 29) (dual of [16417, 16214, 30]-code), using
- OOA 4-folding [i] based on linear OA(2202, 16416, F2, 28) (dual of [16416, 16214, 29]-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(2202, 1823, F2, 35, 28) (dual of [(1823, 35), 63603, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |