Information on Result #1651209
Linear OOA(3235, 23909, F3, 5, 34) (dual of [(23909, 5), 119310, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3235, 23909, F3, 2, 34) (dual of [(23909, 2), 47583, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3235, 29551, F3, 2, 34) (dual of [(29551, 2), 58867, 35]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3234, 29551, F3, 2, 34) (dual of [(29551, 2), 58868, 35]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3232, 29550, F3, 2, 34) (dual of [(29550, 2), 58868, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3232, 59100, F3, 34) (dual of [59100, 58868, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(33) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(3232, 59100, F3, 34) (dual of [59100, 58868, 35]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3232, 29550, F3, 2, 34) (dual of [(29550, 2), 58868, 35]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3234, 29551, F3, 2, 34) (dual of [(29551, 2), 58868, 35]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3235, 5977, F3, 45, 34) (dual of [(5977, 45), 268730, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |