Information on Result #1760195
Digital (213, 259, 1002)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2259, 1002, F2, 2, 46) (dual of [(1002, 2), 1745, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2259, 1037, F2, 2, 46) (dual of [(1037, 2), 1815, 47]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2259, 2074, F2, 46) (dual of [2074, 1815, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(2259, 2075, F2, 46) (dual of [2075, 1816, 47]-code), using
- 1 times truncation [i] based on linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(42) [i] based on
- linear OA(2254, 2048, F2, 47) (dual of [2048, 1794, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- 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(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(46) ⊂ Ce(42) [i] based on
- 1 times truncation [i] based on linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code), using
- discarding factors / shortening the dual code based on linear OA(2259, 2075, F2, 46) (dual of [2075, 1816, 47]-code), using
- OOA 2-folding [i] based on linear OA(2259, 2074, F2, 46) (dual of [2074, 1815, 47]-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.