Information on Result #1235345
Linear OOA(2193, 1939862, F2, 5, 12) (dual of [(1939862, 5), 9699117, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(255, 262142, F2, 5, 6) (dual of [(262142, 5), 1310655, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (49, 55, 262142)-net over F2, using
- 1 times m-reduction [i] based on digital (49, 56, 262142)-net over F2, using
- net defined by OOA [i] based on linear OOA(256, 262142, F2, 7, 7) (dual of [(262142, 7), 1834938, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256, 262143, F2, 3, 7) (dual of [(262143, 3), 786373, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(256, 262142, F2, 7, 7) (dual of [(262142, 7), 1834938, 8]-NRT-code), using
- 1 times m-reduction [i] based on digital (49, 56, 262142)-net over F2, using
- extracting embedded OOA [i] based on digital (49, 55, 262142)-net over F2, using
- linear OOA(2138, 1677720, F2, 5, 12) (dual of [(1677720, 5), 8388462, 13]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 5-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.