Information on Result #1712000
Digital (194, 227, 1611)-net over F2, using net defined by OOA based on linear OOA(2227, 1611, F2, 40, 33) (dual of [(1611, 40), 64213, 34]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2227, 3223, F2, 8, 33) (dual of [(3223, 8), 25557, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2227, 3223, F2, 5, 33) (dual of [(3223, 5), 15888, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2227, 3280, F2, 5, 33) (dual of [(3280, 5), 16173, 34]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2227, 16400, F2, 33) (dual of [16400, 16173, 34]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2226, 16399, F2, 33) (dual of [16399, 16173, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(2225, 16384, F2, 33) (dual of [16384, 16159, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(32) ⊂ Ce(30) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2226, 16399, F2, 33) (dual of [16399, 16173, 34]-code), using
- OOA 5-folding [i] based on linear OA(2227, 16400, F2, 33) (dual of [16400, 16173, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(2227, 3280, F2, 5, 33) (dual of [(3280, 5), 16173, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2227, 3223, F2, 5, 33) (dual of [(3223, 5), 15888, 34]-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.