Information on Result #896496
Linear OOA(834, 4107, F8, 2, 8) (dual of [(4107, 2), 8180, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 9, F8, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,8) [i]
- linear OOA(830, 4098, F8, 2, 8) (dual of [(4098, 2), 8166, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(830, 8196, F8, 8) (dual of [8196, 8166, 9]-code), using
- trace code [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- OOA 2-folding [i] based on linear OA(830, 8196, F8, 8) (dual of [8196, 8166, 9]-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(834, 2053, F8, 10, 8) (dual of [(2053, 10), 20496, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |