Information on Result #895617
Linear OOA(4172, 4194319, F4, 2, 18) (dual of [(4194319, 2), 8388466, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(415, 18, F4, 2, 9) (dual of [(18, 2), 21, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 15, 18)-net over F4, using
- 3 times m-reduction [i] based on digital (6, 18, 18)-net over F4, using
- extracting embedded OOA [i] based on digital (6, 15, 18)-net over F4, 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.