Information on Result #1708240
Digital (113, 123, 2796210)-net over F2, using net defined by OOA based on linear OOA(2123, 2796210, F2, 15, 10) (dual of [(2796210, 15), 41943027, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2123, 2796211, F2, 5, 10) (dual of [(2796211, 5), 13980932, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2123, 2796211, F2, 3, 10) (dual of [(2796211, 3), 8388510, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 10, F2, 3, 5) (dual of [(10, 3), 22, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 10)-net over F2, using
- linear OOA(2115, 2796201, F2, 3, 10) (dual of [(2796201, 3), 8388488, 11]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2115, large, F2, 10) (dual of [large, large−115, 11]-code), using
- linear OOA(28, 10, F2, 3, 5) (dual of [(10, 3), 22, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2123, 2796211, F2, 3, 10) (dual of [(2796211, 3), 8388510, 11]-NRT-code), using
Mode: 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.