Information on Result #990979
Linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using OOA 3-folding based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(8126, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388577, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8127, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388576, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(3100, large, F3, 3, 7) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(950, 5592402, F9, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(8128, 2796283, F81, 3, 7) (dual of [(2796283, 3), 8388821, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8129, 2802763, F81, 3, 7) (dual of [(2802763, 3), 8408260, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(8130, 2812519, F81, 3, 7) (dual of [(2812519, 3), 8437527, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(8131, 3334449, F81, 3, 7) (dual of [(3334449, 3), 10003316, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(8132, 5592402, F81, 3, 7) (dual of [(5592402, 3), 16777174, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(8178, 5592402, F81, 3, 14) (dual of [(5592402, 3), 16777128, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(8182, 5592402, F81, 3, 15) (dual of [(5592402, 3), 16777124, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(8182, 5592484, F81, 3, 14) (dual of [(5592484, 3), 16777370, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |