Information on Result #1145152
Linear OOA(25650, 11439, F256, 6, 18) (dual of [(11439, 6), 68584, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25615, 516, F256, 6, 9) (dual of [(516, 6), 3081, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 258, F256, 6, 4) (dual of [(258, 6), 1543, 5]-NRT-code), using
- appending 2 arbitrary columns [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
- appending 2 arbitrary columns [i] based on linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- linear OOA(25610, 258, F256, 6, 9) (dual of [(258, 6), 1538, 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, 6, 4) (dual of [(258, 6), 1543, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25635, 10923, F256, 6, 18) (dual of [(10923, 6), 65503, 19]-NRT-code), using
- OOA 6-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] 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]
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 6-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 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.