Information on Result #1735691
Linear OOA(16129, 16387, F16, 34, 31) (dual of [(16387, 34), 557029, 32]-NRT-code), using OOA 8-folding and stacking with additional row based on linear OOA(16129, 131097, F16, 2, 31) (dual of [(131097, 2), 262065, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16129, 131098, F16, 2, 31) (dual of [(131098, 2), 262067, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16129, 131098, F16, 31) (dual of [131098, 130969, 32]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(16128, 131096, F16, 31) (dual of [131096, 130968, 32]-code), using
- trace code [i] based on linear OA(25664, 65548, F256, 31) (dual of [65548, 65484, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,13]) [i] based on
- linear OA(25661, 65537, F256, 31) (dual of [65537, 65476, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(25653, 65537, F256, 27) (dual of [65537, 65484, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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([0,15]) ⊂ C([0,13]) [i] based on
- trace code [i] based on linear OA(25664, 65548, F256, 31) (dual of [65548, 65484, 32]-code), using
- linear OA(16128, 131097, F16, 30) (dual of [131097, 130969, 31]-code), using Gilbert–Varšamov bound and bm = 16128 > Vbs−1(k−1) = 37 056362 463236 624514 311686 718584 227136 252876 479635 337228 892911 003355 678233 710352 366450 233347 699212 822441 680492 811551 205159 319964 640523 645029 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(16128, 131096, F16, 31) (dual of [131096, 130968, 32]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16129, 131098, F16, 31) (dual of [131098, 130969, 32]-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 (98, 129, 16387)-net over F16 | [i] | Net Defined by OOA | |