Information on Result #1649845
Linear OOA(3220, 50603, F3, 5, 30) (dual of [(50603, 5), 252795, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3220, 50603, F3, 3, 30) (dual of [(50603, 3), 151589, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3220, 59049, F3, 3, 30) (dual of [(59049, 3), 176927, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3220, 177147, F3, 30) (dual of [177147, 176927, 31]-code), using
- 1 times truncation [i] based on linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using
- OOA 3-folding [i] based on linear OA(3220, 177147, F3, 30) (dual of [177147, 176927, 31]-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(3220, 16867, F3, 35, 30) (dual of [(16867, 35), 590125, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |