Information on Result #1204844
Digital (36, 56, 6811)-net over F256, using net defined by OOA based on linear OOA(25656, 6811, F256, 25, 20) (dual of [(6811, 25), 170219, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25656, 13623, F256, 5, 20) (dual of [(13623, 5), 68059, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25617, 516, F256, 5, 10) (dual of [(516, 5), 2563, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2566, 258, F256, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 6, 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, 6, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- linear OOA(25611, 258, F256, 5, 10) (dual of [(258, 5), 1279, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 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, 11, 258)-net over F256, using
- linear OOA(2566, 258, F256, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25639, 13107, F256, 5, 20) (dual of [(13107, 5), 65496, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-code), using
- linear OOA(25617, 516, F256, 5, 10) (dual of [(516, 5), 2563, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.