Information on Result #905758
Linear OOA(25667, 4194817, F256, 2, 18) (dual of [(4194817, 2), 8389567, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25615, 516, F256, 2, 9) (dual of [(516, 2), 1017, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 258, F256, 2, 4) (dual of [(258, 2), 511, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- linear OOA(25610, 258, F256, 2, 9) (dual of [(258, 2), 506, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- linear OOA(2565, 258, F256, 2, 4) (dual of [(258, 2), 511, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25652, 4194301, F256, 2, 18) (dual of [(4194301, 2), 8388550, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 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.