Information on Result #1663331
Linear OOA(2117, 2097151, F2, 6, 10) (dual of [(2097151, 6), 12582789, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2117, 2097151, F2, 4, 10) (dual of [(2097151, 4), 8388487, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2117, 4194302, F2, 2, 10) (dual of [(4194302, 2), 8388487, 11]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2115, 4194301, F2, 2, 10) (dual of [(4194301, 2), 8388487, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2115, 8388602, F2, 10) (dual of [8388602, 8388487, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- OOA 2-folding [i] based on linear OA(2115, 8388602, F2, 10) (dual of [8388602, 8388487, 11]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2115, 4194301, F2, 2, 10) (dual of [(4194301, 2), 8388487, 11]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2118, 2097151, F2, 6, 10) (dual of [(2097151, 6), 12582788, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2119, 2097151, F2, 6, 10) (dual of [(2097151, 6), 12582787, 11]-NRT-code) | [i] | ||