Information on Result #1716395
Linear OOA(3243, 42746, F3, 35, 31) (dual of [(42746, 35), 1495867, 32]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(3243, 128239, F3, 5, 31) (dual of [(128239, 5), 640952, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3243, 128240, F3, 5, 31) (dual of [(128240, 5), 640957, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3243, 128240, F3, 4, 31) (dual of [(128240, 4), 512717, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3243, 132863, F3, 4, 31) (dual of [(132863, 4), 531209, 32]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3242, 132863, F3, 4, 31) (dual of [(132863, 4), 531210, 32]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3242, 531452, F3, 31) (dual of [531452, 531210, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3229, 531441, F3, 29) (dual of [531441, 531212, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(3242, 531454, F3, 31) (dual of [531454, 531212, 32]-code), using
- OOA 4-folding [i] based on linear OA(3242, 531452, F3, 31) (dual of [531452, 531210, 32]-code), using
- 31 times duplication [i] based on linear OOA(3242, 132863, F3, 4, 31) (dual of [(132863, 4), 531210, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3243, 132863, F3, 4, 31) (dual of [(132863, 4), 531209, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3243, 128240, F3, 4, 31) (dual of [(128240, 4), 512717, 32]-NRT-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 (212, 243, 42746)-net over F3 | [i] | Net Defined by OOA | |