Information on Result #1734701
Linear OOA(1685, 26219, F16, 22, 20) (dual of [(26219, 22), 576733, 21]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(1685, 131096, F16, 2, 20) (dual of [(131096, 2), 262107, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1685, 131096, F16, 20) (dual of [131096, 131011, 21]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(1684, 131094, F16, 20) (dual of [131094, 131010, 21]-code), using
- trace code [i] based on linear OA(25642, 65547, F256, 20) (dual of [65547, 65505, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 Ce(19) ⊂ Ce(15) [i] based on
- trace code [i] based on linear OA(25642, 65547, F256, 20) (dual of [65547, 65505, 21]-code), using
- linear OA(1684, 131095, F16, 19) (dual of [131095, 131011, 20]-code), using Gilbert–Varšamov bound and bm = 1684 > Vbs−1(k−1) = 30 150144 744904 567339 565223 178212 850727 005615 763222 181944 173811 420298 785575 716694 054040 947598 558386 [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(1684, 131094, F16, 20) (dual of [131094, 131010, 21]-code), using
- construction X with Varšamov bound [i] based on
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 (65, 85, 26219)-net over F16 | [i] | Net Defined by OOA | |