Information on Result #1535414
Linear OOA(499, 2097151, F4, 3, 12) (dual of [(2097151, 3), 6291354, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(499, 2097151, F4, 2, 12) (dual of [(2097151, 2), 4194203, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(499, 4194302, F4, 12) (dual of [4194302, 4194203, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(499, 4194303, F4, 12) (dual of [4194303, 4194204, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(499, 4194303, F4, 12) (dual of [4194303, 4194204, 13]-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(499, 1048575, F4, 15, 12) (dual of [(1048575, 15), 15728526, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |