Information on Result #1663735
Linear OOA(2127, 419430, F2, 6, 13) (dual of [(419430, 6), 2516453, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2127, 419430, F2, 5, 13) (dual of [(419430, 5), 2097023, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2127, 2097150, F2, 13) (dual of [2097150, 2097023, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2127, 2097152, F2, 13) (dual of [2097152, 2097025, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2127, 2097152, F2, 13) (dual of [2097152, 2097025, 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(2127, 419429, F2, 7, 13) (dual of [(419429, 7), 2935876, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2127, 419429, F2, 8, 13) (dual of [(419429, 8), 3355305, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2127, 419429, F2, 18, 13) (dual of [(419429, 18), 7549595, 14]-NRT-code) | [i] | ||