Information on Result #961014
Linear OOA(417, 86, F4, 3, 6) (dual of [(86, 3), 241, 7]-NRT-code), using OOA 3-folding based on linear OA(417, 258, F4, 6) (dual of [258, 241, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(417, 260, F4, 6) (dual of [260, 243, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(417, 256, F4, 6) (dual of [256, 239, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(413, 256, F4, 5) (dual of [256, 243, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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(5) ⊂ Ce(4) [i] based on
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(4125, 2796287, F4, 3, 12) (dual of [(2796287, 3), 8388736, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4126, 2796287, F4, 3, 13) (dual of [(2796287, 3), 8388735, 14]-NRT-code) | [i] | ||