Information on Result #1735278
Digital (72, 98, 6866)-net over F16, using net defined by OOA based on linear OOA(1698, 6866, F16, 30, 26) (dual of [(6866, 30), 205882, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(1698, 48063, F16, 2, 26) (dual of [(48063, 2), 96028, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 48063, F16, 26) (dual of [48063, 47965, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(1698, 65545, F16, 26) (dual of [65545, 65447, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(1697, 65536, F16, 26) (dual of [65536, 65439, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1689, 65536, F16, 24) (dual of [65536, 65447, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(1698, 65545, F16, 26) (dual of [65545, 65447, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 48063, F16, 26) (dual of [48063, 47965, 27]-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.