Information on Result #1734602
Digital (52, 71, 8688)-net over F16, using net defined by OOA based on linear OOA(1671, 8688, F16, 22, 19) (dual of [(8688, 22), 191065, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1671, 43441, F16, 2, 19) (dual of [(43441, 2), 86811, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1671, 43442, F16, 2, 19) (dual of [(43442, 2), 86813, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1671, 43442, F16, 19) (dual of [43442, 43371, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1671, 65546, F16, 19) (dual of [65546, 65475, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1670, 65545, F16, 19) (dual of [65545, 65475, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(1669, 65536, F16, 19) (dual of [65536, 65467, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 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(18) ⊂ Ce(16) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(1670, 65545, F16, 19) (dual of [65545, 65475, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1671, 65546, F16, 19) (dual of [65546, 65475, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1671, 43442, F16, 19) (dual of [43442, 43371, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(1671, 43442, F16, 2, 19) (dual of [(43442, 2), 86813, 20]-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.