Information on Result #1520403
Linear OOA(342, 29530, F3, 3, 7) (dual of [(29530, 3), 88548, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(342, 29530, F3, 2, 7) (dual of [(29530, 2), 59018, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(342, 59060, F3, 7) (dual of [59060, 59018, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(331, 59049, F3, 5) (dual of [59049, 59018, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(6) ⊂ Ce(4) [i] based on
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(342, 29529, F3, 4, 7) (dual of [(29529, 4), 118074, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(342, 29529, F3, 5, 7) (dual of [(29529, 5), 147603, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(342, 29529, F3, 9, 7) (dual of [(29529, 9), 265719, 8]-NRT-code) | [i] | ||