Information on Result #1118893
Linear OOA(25649, 13622, F256, 5, 18) (dual of [(13622, 5), 68061, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25614, 515, F256, 5, 9) (dual of [(515, 5), 2561, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 5, 4) (dual of [(257, 5), 1281, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1281,256) [i]
- linear OOA(25610, 258, F256, 5, 9) (dual of [(258, 5), 1280, 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, using
- extracting embedded OOA [i] based on digital (1, 10, 258)-net over F256, using
- linear OOA(2564, 257, F256, 5, 4) (dual of [(257, 5), 1281, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25635, 13107, F256, 5, 18) (dual of [(13107, 5), 65500, 19]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25635, 65535, F256, 18) (dual of [65535, 65500, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- OOA 5-folding [i] based on linear OA(25635, 65535, F256, 18) (dual of [65535, 65500, 19]-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.