Information on Result #1629787
Linear OOA(256, 633, F2, 5, 11) (dual of [(633, 5), 3109, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(256, 633, F2, 3, 11) (dual of [(633, 3), 1843, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 682, F2, 3, 11) (dual of [(682, 3), 1990, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(256, 2046, F2, 11) (dual of [2046, 1990, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using
- OOA 3-folding [i] based on linear OA(256, 2046, F2, 11) (dual of [2046, 1990, 12]-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(256, 632, F2, 6, 11) (dual of [(632, 6), 3736, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(256, 632, F2, 7, 11) (dual of [(632, 7), 4368, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(256, 632, F2, 8, 11) (dual of [(632, 8), 5000, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(256, 632, F2, 15, 11) (dual of [(632, 15), 9424, 12]-NRT-code) | [i] | ||