Information on Result #1759821
Digital (219, 255, 3354)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2255, 3354, F2, 4, 36) (dual of [(3354, 4), 13161, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2255, 4100, F2, 4, 36) (dual of [(4100, 4), 16145, 37]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2255, 16400, F2, 36) (dual of [16400, 16145, 37]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2253, 16398, F2, 36) (dual of [16398, 16145, 37]-code), using
- 1 times truncation [i] based on linear OA(2254, 16399, F2, 37) (dual of [16399, 16145, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2253, 16384, F2, 37) (dual of [16384, 16131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2239, 16384, F2, 35) (dual of [16384, 16145, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(36) ⊂ Ce(34) [i] based on
- 1 times truncation [i] based on linear OA(2254, 16399, F2, 37) (dual of [16399, 16145, 38]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2253, 16398, F2, 36) (dual of [16398, 16145, 37]-code), using
- OOA 4-folding [i] based on linear OA(2255, 16400, F2, 36) (dual of [16400, 16145, 37]-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.