Information on Result #1661942
Linear OOA(272, 1365, F2, 6, 12) (dual of [(1365, 6), 8118, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(272, 1365, F2, 3, 12) (dual of [(1365, 3), 4023, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(272, 4095, F2, 12) (dual of [4095, 4023, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(272, 4096, F2, 12) (dual of [4096, 4024, 13]-code), using
- 1 times truncation [i] based on linear OA(273, 4097, F2, 13) (dual of [4097, 4024, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(273, 4097, F2, 13) (dual of [4097, 4024, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(272, 4096, F2, 12) (dual of [4096, 4024, 13]-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(272, 1364, F2, 7, 12) (dual of [(1364, 7), 9476, 13]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(272, 1364, F2, 8, 12) (dual of [(1364, 8), 10840, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(272, 1364, F2, 18, 12) (dual of [(1364, 18), 24480, 13]-NRT-code) | [i] | ||