Information on Result #961077
Linear OOA(457, 1398109, F4, 3, 7) (dual of [(1398109, 3), 4194270, 8]-NRT-code), using OOA 3-folding based on linear OA(457, 4194327, F4, 7) (dual of [4194327, 4194270, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(41, 23, F4, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(458, 1398109, F4, 3, 7) (dual of [(1398109, 3), 4194269, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(473, 2796218, F4, 3, 7) (dual of [(2796218, 3), 8388581, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |