Information on Result #1014208
Linear OOA(825, 2741, F8, 3, 6) (dual of [(2741, 3), 8198, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(83, 9, F8, 3, 3) (dual of [(9, 3), 24, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;24,8) [i]
- linear OOA(822, 2732, F8, 3, 6) (dual of [(2732, 3), 8174, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(822, 8196, F8, 6) (dual of [8196, 8174, 7]-code), using
- trace code [i] based on linear OA(6411, 4098, F64, 6) (dual of [4098, 4087, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(649, 4096, F64, 5) (dual of [4096, 4087, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- trace code [i] based on linear OA(6411, 4098, F64, 6) (dual of [4098, 4087, 7]-code), using
- OOA 3-folding [i] based on linear OA(822, 8196, F8, 6) (dual of [8196, 8174, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8115, 5595143, F8, 3, 12) (dual of [(5595143, 3), 16785314, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8123, 5595143, F8, 3, 13) (dual of [(5595143, 3), 16785306, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(825, 2740, F8, 9, 6) (dual of [(2740, 9), 24635, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |