Information on Result #1710820
Digital (173, 197, 6125)-net over F2, using net defined by OOA based on linear OOA(2197, 6125, F2, 30, 24) (dual of [(6125, 30), 183553, 25]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2197, 12251, F2, 6, 24) (dual of [(12251, 6), 73309, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 12252, F2, 6, 24) (dual of [(12252, 6), 73315, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2197, 12252, F2, 5, 24) (dual of [(12252, 5), 61063, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 13111, F2, 5, 24) (dual of [(13111, 5), 65358, 25]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2196, 13111, F2, 5, 24) (dual of [(13111, 5), 65359, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2196, 65555, F2, 24) (dual of [65555, 65359, 25]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2193, 65552, F2, 24) (dual of [65552, 65359, 25]-code), using
- 1 times truncation [i] based on linear OA(2194, 65553, F2, 25) (dual of [65553, 65359, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2193, 65536, F2, 25) (dual of [65536, 65343, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2177, 65536, F2, 23) (dual of [65536, 65359, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 17, F2, 1) (dual of [17, 16, 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(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2194, 65553, F2, 25) (dual of [65553, 65359, 26]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2193, 65552, F2, 24) (dual of [65552, 65359, 25]-code), using
- OOA 5-folding [i] based on linear OA(2196, 65555, F2, 24) (dual of [65555, 65359, 25]-code), using
- 21 times duplication [i] based on linear OOA(2196, 13111, F2, 5, 24) (dual of [(13111, 5), 65359, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 13111, F2, 5, 24) (dual of [(13111, 5), 65358, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2197, 12252, F2, 5, 24) (dual of [(12252, 5), 61063, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2197, 12252, F2, 6, 24) (dual of [(12252, 6), 73315, 25]-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.