Information on Result #1711150
Digital (168, 195, 1842)-net over F2, using net defined by OOA based on linear OOA(2195, 1842, F2, 35, 27) (dual of [(1842, 35), 64275, 28]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2195, 3685, F2, 7, 27) (dual of [(3685, 7), 25600, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2195, 3686, F2, 7, 27) (dual of [(3686, 7), 25607, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2195, 3686, F2, 4, 27) (dual of [(3686, 4), 14549, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2195, 4108, F2, 4, 27) (dual of [(4108, 4), 16237, 28]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2195, 16432, F2, 27) (dual of [16432, 16237, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2141, 16384, F2, 21) (dual of [16384, 16243, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- OOA 4-folding [i] based on linear OA(2195, 16432, F2, 27) (dual of [16432, 16237, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(2195, 4108, F2, 4, 27) (dual of [(4108, 4), 16237, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2195, 3686, F2, 4, 27) (dual of [(3686, 4), 14549, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2195, 3686, F2, 7, 27) (dual of [(3686, 7), 25607, 28]-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.