Information on Result #1759622
Digital (215, 253, 2163)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2253, 2163, F2, 3, 38) (dual of [(2163, 3), 6236, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2253, 2741, F2, 3, 38) (dual of [(2741, 3), 7970, 39]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2253, 8223, F2, 38) (dual of [8223, 7970, 39]-code), using
- 1 times truncation [i] based on linear OA(2254, 8224, F2, 39) (dual of [8224, 7970, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(34) [i] based on
- linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2222, 8192, F2, 35) (dual of [8192, 7970, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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(38) ⊂ Ce(34) [i] based on
- 1 times truncation [i] based on linear OA(2254, 8224, F2, 39) (dual of [8224, 7970, 40]-code), using
- OOA 3-folding [i] based on linear OA(2253, 8223, F2, 38) (dual of [8223, 7970, 39]-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.