Information on Result #1708304
Digital (41, 52, 344)-net over F2, using net defined by OOA based on linear OOA(252, 344, F2, 15, 11) (dual of [(344, 15), 5108, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(252, 345, F2, 5, 11) (dual of [(345, 5), 1673, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(252, 345, F2, 3, 11) (dual of [(345, 3), 983, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(252, 1035, F2, 11) (dual of [1035, 983, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(251, 1024, F2, 11) (dual of [1024, 973, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 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(10) ⊂ Ce(8) [i] based on
- OOA 3-folding [i] based on linear OA(252, 1035, F2, 11) (dual of [1035, 983, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(252, 345, F2, 3, 11) (dual of [(345, 3), 983, 12]-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.