Information on Result #1548370
Linear OOA(589, 76346, F5, 3, 15) (dual of [(76346, 3), 228949, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(589, 76346, F5, 15) (dual of [76346, 76257, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(589, 78152, F5, 15) (dual of [78152, 78063, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(585, 78126, F5, 15) (dual of [78126, 78041, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [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(589, 25448, F5, 21, 15) (dual of [(25448, 21), 534319, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |