Information on Result #1485408
Linear OOA(5143, 165954, F5, 3, 21) (dual of [(165954, 3), 497719, 22]-NRT-code), using OOA 2-folding based on linear OOA(5143, 331908, F5, 2, 21) (dual of [(331908, 2), 663673, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5143, 331909, F5, 2, 21) (dual of [(331909, 2), 663675, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 331909, F5, 21) (dual of [331909, 331766, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5143, 390655, F5, 21) (dual of [390655, 390512, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(5143, 390655, F5, 21) (dual of [390655, 390512, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 331909, F5, 21) (dual of [331909, 331766, 22]-code), using
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
None.