Information on Result #1022996
Linear OOA(25660, large, F256, 3, 12), using generalized (u, u+v)-construction based on
- linear OOA(25610, 2796201, F256, 3, 4) (dual of [(2796201, 3), 8388593, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using
- linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(25660, large, F256, 3, 11) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25660, large, F256, 3, 10) | [i] | ||
| 3 | Linear OOA(25660, large, F256, 3, 9) | [i] | ||
| 4 | Linear OOA(25660, large, F256, 3, 8) | [i] | ||
| 5 | Linear OOA(25660, large, F256, 3, 7) | [i] | ||
| 6 | Linear OOA(25660, large, F256, 3, 6) | [i] | ||
| 7 | Linear OOA(25660, large, F256, 3, 5) | [i] | ||
| 8 | Linear OOA(25660, large, F256, 3, 4) | [i] | ||
| 9 | Linear OOA(25660, large, F256, 3, 3) | [i] | ||
| 10 | Linear OOA(25661, large, F256, 3, 12) | [i] | OOA Duplication | |
| 11 | Linear OOA(25662, large, F256, 3, 12) | [i] | ||
| 12 | OOA(12869, large, S128, 3, 12) | [i] | Discarding Parts of the Base for OOAs | |
| 13 | Linear OOA(25660, 4194301, F256, 5, 12) (dual of [(4194301, 5), 20971445, 13]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(25660, 4194301, F256, 6, 12) (dual of [(4194301, 6), 25165746, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(25660, 4194301, F256, 15, 12) (dual of [(4194301, 15), 62914455, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |