Information on Result #2492789
Linear OOA(3231, 120, F3, 2, 164) (dual of [(120, 2), 9, 165]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3229, 119, F3, 2, 164) (dual of [(119, 2), 9, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2714, 17, F27, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OA(2714, 17, F27, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
Mode: Constructive and 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(3231, 60, F3, 4, 164) (dual of [(60, 4), 9, 165]-NRT-code) | [i] | OOA Folding |