Information on Result #2699350
Linear OOA(8164, large, F8, 3, 14), using 3 times NRT-code embedding in larger space based on linear OOA(8155, large, F8, 3, 14), using
- (u, u+v)-construction [i] based on
- linear OOA(849, 2796201, F8, 3, 7) (dual of [(2796201, 3), 8388554, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(849, large, F8, 7) (dual of [large, large−49, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(849, large, F8, 7) (dual of [large, large−49, 8]-code), using
- linear OOA(8106, 5592402, F8, 3, 14) (dual of [(5592402, 3), 16777100, 15]-NRT-code), using
- trace code [i] based on linear OOA(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- trace code [i] based on linear OOA(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
- linear OOA(849, 2796201, F8, 3, 7) (dual of [(2796201, 3), 8388554, 8]-NRT-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(8165, large, F8, 3, 14) | [i] | OOA Duplication | |
| 2 | Linear OOA(8166, large, F8, 3, 14) | [i] | ||