Information on Result #895615
Linear OOA(4170, 4194316, F4, 2, 18) (dual of [(4194316, 2), 8388462, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(413, 15, F4, 2, 9) (dual of [(15, 2), 17, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, using
- linear OOA(4157, 4194301, F4, 2, 18) (dual of [(4194301, 2), 8388445, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.