Information on Result #1629958
Linear OOA(265, 2730, F2, 5, 10) (dual of [(2730, 5), 13585, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(265, 2730, F2, 3, 10) (dual of [(2730, 3), 8125, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(265, 8190, F2, 10) (dual of [8190, 8125, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(265, 8191, F2, 10) (dual of [8191, 8126, 11]-code), using
- 1 times truncation [i] based on linear OA(266, 8192, F2, 11) (dual of [8192, 8126, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 1 times truncation [i] based on linear OA(266, 8192, F2, 11) (dual of [8192, 8126, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(265, 8191, F2, 10) (dual of [8191, 8126, 11]-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(265, 2729, F2, 6, 10) (dual of [(2729, 6), 16309, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(265, 2729, F2, 7, 10) (dual of [(2729, 7), 19038, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(265, 2729, F2, 8, 10) (dual of [(2729, 8), 21767, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(265, 2729, F2, 15, 10) (dual of [(2729, 15), 40870, 11]-NRT-code) | [i] | ||