Information on Result #1079233
Linear OOA(3212, 8388600, F3, 4, 14) (dual of [(8388600, 4), 33554188, 15]-NRT-code), using trace code based on linear OOA(8153, 2097150, F81, 4, 14) (dual of [(2097150, 4), 8388547, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8153, 8388600, F81, 14) (dual of [8388600, 8388547, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
Mode: Constructive and 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(3216, 8388601, F3, 4, 14) (dual of [(8388601, 4), 33554188, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3213, 8388600, F3, 4, 14) (dual of [(8388600, 4), 33554187, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3214, 8388600, F3, 4, 14) (dual of [(8388600, 4), 33554186, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3215, 8388600, F3, 4, 14) (dual of [(8388600, 4), 33554185, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3219, large, F3, 4, 14) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3212, 4194299, F3, 20, 14) (dual of [(4194299, 20), 83885768, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |