Information on Result #822516
Linear OOA(420, 2052, F4, 2, 5) (dual of [(2052, 2), 4084, 6]-NRT-code), using OOA 2-folding based on linear OA(420, 4104, F4, 5) (dual of [4104, 4084, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(419, 4096, F4, 5) (dual of [4096, 4077, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(413, 4096, F4, 3) (dual of [4096, 4083, 4]-code or 4096-cap in PG(12,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(47, 8, F4, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,4)), using
- dual of repetition code with length 8 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 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(4105, 4196353, F4, 2, 10) (dual of [(4196353, 2), 8392601, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4117, 4196353, F4, 2, 11) (dual of [(4196353, 2), 8392589, 12]-NRT-code) | [i] | ||