Information on Result #1734348
Digital (30, 46, 745)-net over F16, using net defined by OOA based on linear OOA(1646, 745, F16, 18, 16) (dual of [(745, 18), 13364, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1646, 2981, F16, 2, 16) (dual of [(2981, 2), 5916, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1646, 2984, F16, 2, 16) (dual of [(2984, 2), 5922, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1646, 2984, F16, 16) (dual of [2984, 2938, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1646, 4099, F16, 16) (dual of [4099, 4053, 17]-code), using
- 1 times truncation [i] based on linear OA(1647, 4100, F16, 17) (dual of [4100, 4053, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- 1 times truncation [i] based on linear OA(1647, 4100, F16, 17) (dual of [4100, 4053, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1646, 4099, F16, 16) (dual of [4099, 4053, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1646, 2984, F16, 16) (dual of [2984, 2938, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(1646, 2984, F16, 2, 16) (dual of [(2984, 2), 5922, 17]-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.