Information on Result #1118976
Linear OOA(25660, 13622, F256, 5, 22) (dual of [(13622, 5), 68050, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25617, 515, F256, 5, 11) (dual of [(515, 5), 2558, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 257, F256, 5, 5) (dual of [(257, 5), 1280, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1280,256) [i]
- linear OOA(25612, 258, F256, 5, 11) (dual of [(258, 5), 1278, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 12, 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, 12, 258)-net over F256, using
- linear OOA(2565, 257, F256, 5, 5) (dual of [(257, 5), 1280, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25643, 13107, F256, 5, 22) (dual of [(13107, 5), 65492, 23]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25643, 65535, F256, 22) (dual of [65535, 65492, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using
- OOA 5-folding [i] based on linear OA(25643, 65535, F256, 22) (dual of [65535, 65492, 23]-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.