Information on Result #1735086
Digital (73, 97, 18067)-net over F16, using net defined by OOA based on linear OOA(1697, 18067, F16, 26, 24) (dual of [(18067, 26), 469645, 25]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(1697, 108403, F16, 2, 24) (dual of [(108403, 2), 216709, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1697, 108407, F16, 2, 24) (dual of [(108407, 2), 216717, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1697, 108407, F16, 24) (dual of [108407, 108310, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1697, 131083, F16, 24) (dual of [131083, 130986, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1696, 131082, F16, 24) (dual of [131082, 130986, 25]-code), using
- trace code [i] based on linear OA(25648, 65541, F256, 24) (dual of [65541, 65493, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(25648, 65541, F256, 24) (dual of [65541, 65493, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1696, 131082, F16, 24) (dual of [131082, 130986, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1697, 131083, F16, 24) (dual of [131083, 130986, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1697, 108407, F16, 24) (dual of [108407, 108310, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(1697, 108407, F16, 2, 24) (dual of [(108407, 2), 216717, 25]-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.