Information on Result #1547627
Linear OOA(563, 67730, F5, 3, 11) (dual of [(67730, 3), 203127, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(563, 67730, F5, 11) (dual of [67730, 67667, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(563, 78138, F5, 11) (dual of [78138, 78075, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [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(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- (u, u+v)-construction [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(563, 33864, F5, 15, 11) (dual of [(33864, 15), 507897, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |