Information on Result #1710996
Digital (161, 187, 1807)-net over F2, using net defined by OOA based on linear OOA(2187, 1807, F2, 35, 26) (dual of [(1807, 35), 63058, 27]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2187, 3615, F2, 7, 26) (dual of [(3615, 7), 25118, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2187, 3615, F2, 4, 26) (dual of [(3615, 4), 14273, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 4100, F2, 4, 26) (dual of [(4100, 4), 16213, 27]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2185, 4100, F2, 4, 26) (dual of [(4100, 4), 16215, 27]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2185, 16400, F2, 26) (dual of [16400, 16215, 27]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2183, 16398, F2, 26) (dual of [16398, 16215, 27]-code), using
- 1 times truncation [i] based on linear OA(2184, 16399, F2, 27) (dual of [16399, 16215, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2169, 16384, F2, 25) (dual of [16384, 16215, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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(26) ⊂ Ce(24) [i] based on
- 1 times truncation [i] based on linear OA(2184, 16399, F2, 27) (dual of [16399, 16215, 28]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2183, 16398, F2, 26) (dual of [16398, 16215, 27]-code), using
- OOA 4-folding [i] based on linear OA(2185, 16400, F2, 26) (dual of [16400, 16215, 27]-code), using
- 22 times duplication [i] based on linear OOA(2185, 4100, F2, 4, 26) (dual of [(4100, 4), 16215, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 4100, F2, 4, 26) (dual of [(4100, 4), 16213, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2187, 3615, F2, 4, 26) (dual of [(3615, 4), 14273, 27]-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.