Information on Result #1013398
Linear OOA(5110, 5226, F5, 3, 20) (dual of [(5226, 3), 15568, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(514, 18, F5, 3, 10) (dual of [(18, 3), 40, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(596, 5208, F5, 3, 20) (dual of [(5208, 3), 15528, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(596, 15624, F5, 20) (dual of [15624, 15528, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 15625, F5, 20) (dual of [15625, 15529, 21]-code), using
- 1 times truncation [i] based on linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, 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(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(596, 15625, F5, 20) (dual of [15625, 15529, 21]-code), using
- OOA 3-folding [i] based on linear OA(596, 15624, F5, 20) (dual of [15624, 15528, 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.