Information on Result #1729279
Linear OOA(8159, 104859, F8, 33, 27) (dual of [(104859, 33), 3460188, 28]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8159, 524296, F8, 3, 27) (dual of [(524296, 3), 1572729, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8159, 524296, F8, 27) (dual of [524296, 524137, 28]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8158, 524294, F8, 27) (dual of [524294, 524136, 28]-code), using
- trace code [i] based on linear OA(6479, 262147, F64, 27) (dual of [262147, 262068, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(6479, 262144, F64, 27) (dual of [262144, 262065, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- trace code [i] based on linear OA(6479, 262147, F64, 27) (dual of [262147, 262068, 28]-code), using
- linear OA(8158, 524295, F8, 26) (dual of [524295, 524137, 27]-code), using Gilbert–Varšamov bound and bm = 8158 > Vbs−1(k−1) = 8 432026 563513 827178 345508 861969 177582 961734 988829 629992 203844 978636 232948 221105 267559 713703 672892 459483 625264 206202 464720 137288 951038 541824 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8158, 524294, F8, 27) (dual of [524294, 524136, 28]-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 (132, 159, 104859)-net over F8 | [i] | Net Defined by OOA | |