Information on Result #1649236
Linear OOA(3213, 2097151, F3, 5, 22) (dual of [(2097151, 5), 10485542, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3213, 2097151, F3, 4, 22) (dual of [(2097151, 4), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3213, 4194302, F3, 2, 22) (dual of [(4194302, 2), 8388391, 23]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-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(3214, 2097151, F3, 5, 22) (dual of [(2097151, 5), 10485541, 23]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3215, 2097151, F3, 5, 22) (dual of [(2097151, 5), 10485540, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3216, 2097151, F3, 5, 22) (dual of [(2097151, 5), 10485539, 23]-NRT-code) | [i] | ||