Information on Result #1014230
Linear OOA(830, 2797, F8, 3, 7) (dual of [(2797, 3), 8361, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- linear OOA(826, 2732, F8, 3, 7) (dual of [(2732, 3), 8170, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(826, 8196, F8, 7) (dual of [8196, 8170, 8]-code), using
- trace code [i] based on linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- 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(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(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code), using
- OOA 3-folding [i] based on linear OA(826, 8196, F8, 7) (dual of [8196, 8170, 8]-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(8136, 5595199, F8, 3, 14) (dual of [(5595199, 3), 16785461, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8144, 5595199, F8, 3, 15) (dual of [(5595199, 3), 16785453, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(830, 2796, F8, 9, 7) (dual of [(2796, 9), 25134, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |