Information on Result #1735555
Linear OOA(16121, 18728, F16, 30, 29) (dual of [(18728, 30), 561719, 30]-NRT-code), using OOA 7-folding and stacking with additional row based on linear OOA(16121, 131097, F16, 2, 29) (dual of [(131097, 2), 262073, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16121, 131098, F16, 2, 29) (dual of [(131098, 2), 262075, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16121, 131098, F16, 29) (dual of [131098, 130977, 30]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(16120, 131096, F16, 29) (dual of [131096, 130976, 30]-code), using
- trace code [i] based on linear OA(25660, 65548, F256, 29) (dual of [65548, 65488, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(25649, 65537, F256, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- trace code [i] based on linear OA(25660, 65548, F256, 29) (dual of [65548, 65488, 30]-code), using
- linear OA(16120, 131097, F16, 28) (dual of [131097, 130977, 29]-code), using Gilbert–Varšamov bound and bm = 16120 > Vbs−1(k−1) = 7784 651885 655532 981864 611762 878339 419243 065541 574371 900499 763001 629281 347965 083897 763486 976549 752121 137879 641266 039807 169820 520029 460230 946816 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(16120, 131096, F16, 29) (dual of [131096, 130976, 30]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16121, 131098, F16, 29) (dual of [131098, 130977, 30]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (92, 121, 18728)-net over F16 | [i] | Net Defined by OOA | |