Information on Result #1013400
Linear OOA(5127, 26061, F5, 3, 20) (dual of [(26061, 3), 78056, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(515, 20, F5, 3, 10) (dual of [(20, 3), 45, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,49P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5112, 26041, F5, 3, 20) (dual of [(26041, 3), 78011, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5112, 78123, F5, 20) (dual of [78123, 78011, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(5112, 78125, F5, 20) (dual of [78125, 78013, 21]-code), using
- 1 times truncation [i] based on linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5112, 78125, F5, 20) (dual of [78125, 78013, 21]-code), using
- OOA 3-folding [i] based on linear OA(5112, 78123, F5, 20) (dual of [78123, 78011, 21]-code), using
Mode: Constructive and 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.