Information on Result #1079463
Linear OOA(2181, 4195328, F2, 4, 10) (dual of [(4195328, 4), 16781131, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(244, 2097153, F2, 4, 5) (dual of [(2097153, 4), 8388568, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (39, 44, 2097153)-net over F2, using
- linear OOA(2137, 2098175, F2, 4, 10) (dual of [(2098175, 4), 8392563, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(222, 1025, F2, 4, 5) (dual of [(1025, 4), 4078, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 22, 1025)-net over F2, using
- linear OOA(2115, 2097150, F2, 4, 10) (dual of [(2097150, 4), 8388485, 11]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- OOA 4-folding [i] based on linear OA(2115, 8388600, F2, 10) (dual of [8388600, 8388485, 11]-code), using
- linear OOA(222, 1025, F2, 4, 5) (dual of [(1025, 4), 4078, 6]-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.
Other Results with Identical Parameters
None.
Depending Results
None.