Information on Result #1011744
Linear OOA(434, 1372, F4, 3, 7) (dual of [(1372, 3), 4082, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(43, 5, F4, 3, 3) (dual of [(5, 3), 12, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;12,4) [i]
- linear OOA(431, 1367, F4, 3, 7) (dual of [(1367, 3), 4070, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(431, 4101, F4, 7) (dual of [4101, 4070, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(431, 4102, F4, 7) (dual of [4102, 4071, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(431, 4096, F4, 7) (dual of [4096, 4065, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(425, 4096, F4, 6) (dual of [4096, 4071, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(431, 4102, F4, 7) (dual of [4102, 4071, 8]-code), using
- OOA 3-folding [i] based on linear OA(431, 4101, F4, 7) (dual of [4101, 4070, 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(4155, 2797573, F4, 3, 14) (dual of [(2797573, 3), 8392564, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4167, 2797573, F4, 3, 15) (dual of [(2797573, 3), 8392552, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(434, 1371, F4, 9, 7) (dual of [(1371, 9), 12305, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |