Information on Result #1538047
Linear OOA(4153, 15505, F4, 3, 27) (dual of [(15505, 3), 46362, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4153, 15505, F4, 27) (dual of [15505, 15352, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4153, 16398, F4, 27) (dual of [16398, 16245, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([1,13]) [i] based on
- linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4140, 16385, F4, 14) (dual of [16385, 16245, 15]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, 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(4153, 3100, F4, 33, 27) (dual of [(3100, 33), 102147, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |