Information on Result #2225619
Linear OA(2159, 2064, F2, 28) (dual of [2064, 1905, 29]-code), using 1 times truncation based on linear OA(2160, 2065, F2, 29) (dual of [2065, 1905, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(2155, 2049, F2, 29) (dual of [2049, 1894, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(2133, 2049, F2, 25) (dual of [2049, 1916, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
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(2159, 1032, F2, 2, 28) (dual of [(1032, 2), 1905, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2159, 688, F2, 3, 28) (dual of [(688, 3), 1905, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(2159, 516, F2, 4, 28) (dual of [(516, 4), 1905, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2159, 344, F2, 6, 28) (dual of [(344, 6), 1905, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(2159, 258, F2, 8, 28) (dual of [(258, 8), 1905, 29]-NRT-code) | [i] | ||