Information on Result #1708400
Digital (112, 123, 2097156)-net over F2, using net defined by OOA based on linear OOA(2123, 2097156, F2, 15, 11) (dual of [(2097156, 15), 31457217, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2123, 2097157, F2, 5, 11) (dual of [(2097157, 5), 10485662, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2123, 2097157, F2, 4, 11) (dual of [(2097157, 4), 8388505, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(27, 7, F2, 4, 5) (dual of [(7, 4), 21, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 7, 7)-net over F2, using
- linear OOA(2116, 2097150, F2, 4, 11) (dual of [(2097150, 4), 8388484, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 4-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- linear OOA(27, 7, F2, 4, 5) (dual of [(7, 4), 21, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2123, 2097157, F2, 4, 11) (dual of [(2097157, 4), 8388505, 12]-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.