Information on Result #1757986
Digital (192, 235, 837)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2235, 837, F2, 2, 43) (dual of [(837, 2), 1439, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2235, 1031, F2, 2, 43) (dual of [(1031, 2), 1827, 44]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2233, 1030, F2, 2, 43) (dual of [(1030, 2), 1827, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2233, 2060, F2, 43) (dual of [2060, 1827, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2221, 2048, F2, 41) (dual of [2048, 1827, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- OOA 2-folding [i] based on linear OA(2233, 2060, F2, 43) (dual of [2060, 1827, 44]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2233, 1030, F2, 2, 43) (dual of [(1030, 2), 1827, 44]-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.