Information on Result #1729437
Linear OOA(8165, 104859, F8, 33, 28) (dual of [(104859, 33), 3460182, 29]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8165, 524296, F8, 3, 28) (dual of [(524296, 3), 1572723, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8165, 524296, F8, 28) (dual of [524296, 524131, 29]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8164, 524294, F8, 28) (dual of [524294, 524130, 29]-code), using
- trace code [i] based on linear OA(6482, 262147, F64, 28) (dual of [262147, 262065, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(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(27) ⊂ Ce(26) [i] based on
- trace code [i] based on linear OA(6482, 262147, F64, 28) (dual of [262147, 262065, 29]-code), using
- linear OA(8164, 524295, F8, 27) (dual of [524295, 524131, 28]-code), using Gilbert–Varšamov bound and bm = 8164 > Vbs−1(k−1) = 1 190175 360518 227145 312742 993634 217906 384889 507672 142228 786028 976818 083995 727836 965157 319194 696140 035952 968738 635573 077380 809873 830043 009799 290880 [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(8164, 524294, F8, 28) (dual of [524294, 524130, 29]-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 (137, 165, 104859)-net over F8 | [i] | Net Defined by OOA | |