Information on Result #2221020
Linear OA(271, 2064, F2, 12) (dual of [2064, 1993, 13]-code), using 1 times truncation based on linear OA(272, 2065, F2, 13) (dual of [2065, 1993, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(271, 516, F2, 4, 12) (dual of [(516, 4), 1993, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(271, 344, F2, 6, 12) (dual of [(344, 6), 1993, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(271, 344, F2, 7, 12) (dual of [(344, 7), 2337, 13]-NRT-code) | [i] | OA Folding and Stacking | |
| 4 | Linear OOA(271, 344, F2, 8, 12) (dual of [(344, 8), 2681, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(271, 344, F2, 12, 12) (dual of [(344, 12), 4057, 13]-NRT-code) | [i] | ||