Information on Result #1130614
Linear OOA(25622, 16641, F256, 6, 9) (dual of [(16641, 6), 99824, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(25622, 16642, F256, 4, 9) (dual of [(16642, 4), 66546, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 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
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- linear OOA(25617, 16384, F256, 4, 9) (dual of [(16384, 4), 65519, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 4-folding [i] based on linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using
- linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-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.