Information on Result #903659
Linear OOA(6466, 8388602, F64, 2, 12) (dual of [(8388602, 2), 16777138, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6421, 4194301, F64, 2, 6) (dual of [(4194301, 2), 8388581, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6421, 8388602, F64, 6) (dual of [8388602, 8388581, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- OOA 2-folding [i] based on linear OA(6421, 8388602, F64, 6) (dual of [8388602, 8388581, 7]-code), using
- linear OOA(6445, 4194301, F64, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6445, 8388602, F64, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(6445, 8388602, F64, 12) (dual of [8388602, 8388557, 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(6468, large, F64, 2, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6470, large, F64, 2, 12) | [i] | ||
| 3 | Linear OOA(6472, large, F64, 2, 12) | [i] | ||
| 4 | Linear OOA(6474, large, F64, 2, 12) | [i] | ||
| 5 | Linear OOA(6476, large, F64, 2, 12) | [i] | ||
| 6 | Linear OOA(6478, large, F64, 2, 12) | [i] | ||
| 7 | Linear OOA(6480, large, F64, 2, 12) | [i] | ||
| 8 | Linear OOA(6482, large, F64, 2, 12) | [i] | ||
| 9 | Linear OOA(6484, large, F64, 2, 12) | [i] | ||
| 10 | Linear OOA(6486, large, F64, 2, 12) | [i] | ||
| 11 | Linear OOA(6488, large, F64, 2, 12) | [i] | ||
| 12 | Linear OOA(6490, large, F64, 2, 12) | [i] | ||
| 13 | Linear OOA(6467, 8388602, F64, 2, 12) (dual of [(8388602, 2), 16777137, 13]-NRT-code) | [i] | OOA Duplication | |
| 14 | Linear OOA(6466, 4194301, F64, 3, 12) (dual of [(4194301, 3), 12582837, 13]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(6466, 2796200, F64, 14, 12) (dual of [(2796200, 14), 39146734, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |