Information on Result #1630736
Linear OOA(296, 123591, F2, 5, 11) (dual of [(123591, 5), 617859, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(296, 123591, F2, 4, 11) (dual of [(123591, 4), 494268, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(296, 131072, F2, 4, 11) (dual of [(131072, 4), 524192, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(296, 524288, F2, 11) (dual of [524288, 524192, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 4-folding [i] based on linear OA(296, 524288, F2, 11) (dual of [524288, 524192, 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(296, 123590, F2, 6, 11) (dual of [(123590, 6), 741444, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(296, 123590, F2, 7, 11) (dual of [(123590, 7), 865034, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(296, 123590, F2, 8, 11) (dual of [(123590, 8), 988624, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(296, 123590, F2, 15, 11) (dual of [(123590, 15), 1853754, 12]-NRT-code) | [i] | ||