Information on Result #1547426
Linear OOA(554, 13541, F5, 3, 11) (dual of [(13541, 3), 40569, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(554, 13541, F5, 11) (dual of [13541, 13487, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(554, 15632, F5, 11) (dual of [15632, 15578, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([1,5]) [i] based on
- linear OA(549, 15626, F5, 11) (dual of [15626, 15577, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(548, 15626, F5, 5) (dual of [15626, 15578, 6]-code), using the narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(55, 6, F5, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,5)), using
- dual of repetition code with length 6 [i]
- construction X applied to C([0,5]) ⊂ C([1,5]) [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(554, 6770, F5, 15, 11) (dual of [(6770, 15), 101496, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |