Information on Result #1708496
Digital (49, 61, 377)-net over F2, using net defined by OOA based on linear OOA(261, 377, F2, 18, 12) (dual of [(377, 18), 6725, 13]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(261, 378, F2, 6, 12) (dual of [(378, 6), 2207, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(261, 378, F2, 2, 12) (dual of [(378, 2), 695, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(261, 517, F2, 2, 12) (dual of [(517, 2), 973, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(261, 1034, F2, 12) (dual of [1034, 973, 13]-code), using
- 1 times truncation [i] based on linear OA(262, 1035, F2, 13) (dual of [1035, 973, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(261, 1024, F2, 13) (dual of [1024, 963, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(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(12) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(262, 1035, F2, 13) (dual of [1035, 973, 14]-code), using
- OOA 2-folding [i] based on linear OA(261, 1034, F2, 12) (dual of [1034, 973, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(261, 517, F2, 2, 12) (dual of [(517, 2), 973, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(261, 378, F2, 2, 12) (dual of [(378, 2), 695, 13]-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.