Information on Result #1663487
Linear OOA(2121, 209715, F2, 6, 13) (dual of [(209715, 6), 1258169, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2121, 209715, F2, 5, 13) (dual of [(209715, 5), 1048454, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2121, 1048575, F2, 13) (dual of [1048575, 1048454, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-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(2121, 209714, F2, 7, 13) (dual of [(209714, 7), 1467877, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2121, 209714, F2, 8, 13) (dual of [(209714, 8), 1677591, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 209714, F2, 18, 13) (dual of [(209714, 18), 3774731, 14]-NRT-code) | [i] | ||