Information on Result #1729145
Linear OOA(8169, 419443, F8, 33, 26) (dual of [(419443, 33), 13841450, 27]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8169, 2097216, F8, 3, 26) (dual of [(2097216, 3), 6291479, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 2097217, F8, 3, 26) (dual of [(2097217, 3), 6291482, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 2097217, F8, 26) (dual of [2097217, 2097048, 27]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(812, 61, F8, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- linear OA(8167, 2097215, F8, 25) (dual of [2097215, 2097048, 26]-code), using Gilbert–Varšamov bound and bm = 8167 > Vbs−1(k−1) = 16181 426395 568563 630130 696101 276865 861966 686197 758110 097464 728105 075110 184768 384377 034430 740845 798779 610639 866227 753017 242339 492133 321170 296336 211969 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 2097217, F8, 26) (dual of [2097217, 2097048, 27]-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 (143, 169, 419443)-net over F8 | [i] | Net Defined by OOA | |