Information on Result #1430823
Linear OOA(4220, 3874, F4, 2, 49) (dual of [(3874, 2), 7528, 50]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4220, 3874, F4, 49) (dual of [3874, 3654, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(4220, 4103, F4, 49) (dual of [4103, 3883, 50]-code), using
- construction X applied to C([0,24]) ⊂ C([0,22]) [i] based on
- linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(4205, 4097, F4, 45) (dual of [4097, 3892, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- construction X applied to C([0,24]) ⊂ C([0,22]) [i] based on
Mode: 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(4220, 1937, F4, 3, 49) (dual of [(1937, 3), 5591, 50]-NRT-code) | [i] | OOA Folding | |