Information on Result #893921
Linear OOA(5112, 8388602, F5, 2, 12) (dual of [(8388602, 2), 16777092, 13]-NRT-code), using trace code based on linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-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(5114, large, F5, 2, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5116, large, F5, 2, 12) | [i] | ||
| 3 | Linear OOA(5118, large, F5, 2, 12) | [i] | ||
| 4 | Linear OOA(5120, large, F5, 2, 12) | [i] | ||
| 5 | Linear OOA(5122, large, F5, 2, 12) | [i] | ||
| 6 | Linear OOA(5124, large, F5, 2, 12) | [i] | ||
| 7 | Linear OOA(5126, large, F5, 2, 12) | [i] | ||
| 8 | Linear OOA(5128, large, F5, 2, 12) | [i] | ||
| 9 | Linear OOA(5130, large, F5, 2, 12) | [i] | ||
| 10 | Linear OOA(5132, large, F5, 2, 12) | [i] | ||
| 11 | Linear OOA(5134, large, F5, 2, 12) | [i] | ||
| 12 | Linear OOA(5136, large, F5, 2, 12) | [i] | ||
| 13 | Linear OOA(5138, large, F5, 2, 12) | [i] | ||
| 14 | Linear OOA(5140, large, F5, 2, 12) | [i] | ||
| 15 | Linear OOA(5142, large, F5, 2, 12) | [i] | ||
| 16 | Linear OOA(5144, large, F5, 2, 12) | [i] | ||
| 17 | Linear OOA(5146, large, F5, 2, 12) | [i] | ||
| 18 | Linear OOA(5148, large, F5, 2, 12) | [i] | ||
| 19 | Linear OOA(5150, large, F5, 2, 12) | [i] | ||
| 20 | Linear OOA(5113, 8388602, F5, 2, 12) (dual of [(8388602, 2), 16777091, 13]-NRT-code) | [i] | OOA Duplication | |
| 21 | Linear OOA(5112, 4194301, F5, 3, 12) (dual of [(4194301, 3), 12582791, 13]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(5112, 2796200, F5, 14, 12) (dual of [(2796200, 14), 39146688, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |