Information on Result #1729419
Linear OOA(8156, 52438, F8, 33, 28) (dual of [(52438, 33), 1730298, 29]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8156, 262191, F8, 3, 28) (dual of [(262191, 3), 786417, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8156, 262192, F8, 3, 28) (dual of [(262192, 3), 786420, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8156, 262192, F8, 28) (dual of [262192, 262036, 29]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 46, F8, 6) (dual of [46, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(8155, 262191, F8, 27) (dual of [262191, 262036, 28]-code), using Gilbert–Varšamov bound and bm = 8155 > Vbs−1(k−1) = 17799 878092 242579 724217 002574 749910 542132 386391 455835 837140 161475 006679 293155 302597 125541 069658 076875 533989 062796 283167 767726 770410 732796 [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(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8156, 262192, F8, 28) (dual of [262192, 262036, 29]-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 (128, 156, 52438)-net over F8 | [i] | Net Defined by OOA | |