Information on Result #2478377
Linear OOA(2204, 4202493, F2, 2, 14) (dual of [(4202493, 2), 8404782, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2202, 4202492, F2, 2, 14) (dual of [(4202492, 2), 8404782, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(241, 8191, F2, 2, 7) (dual of [(8191, 2), 16341, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 41, 8191)-net over F2, using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- linear OOA(241, 8191, F2, 2, 7) (dual of [(8191, 2), 16341, 8]-NRT-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.