Information on Result #1539335
Linear OOA(4173, 47043, F4, 3, 27) (dual of [(47043, 3), 140956, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4173, 47043, F4, 27) (dual of [47043, 46870, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4173, 65550, F4, 27) (dual of [65550, 65377, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([1,13]) [i] based on
- linear OA(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4160, 65537, F4, 14) (dual of [65537, 65377, 15]-code), using the narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [1,13], and minimum distance d ≥ |{−13,−11,−9,…,13}|+1 = 15 (BCH-bound) [i]
- linear OA(412, 13, F4, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,4)), using
- dual of repetition code with length 13 [i]
- construction X applied to C([0,13]) ⊂ C([1,13]) [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(4173, 9408, F4, 33, 27) (dual of [(9408, 33), 310291, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |