Information on Result #1010188
Linear OOA(2218, 78, F2, 3, 104) (dual of [(78, 3), 16, 105]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2102, 39, F2, 3, 52) (dual of [(39, 3), 15, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2102, 42, F2, 3, 52) (dual of [(42, 3), 24, 53]-NRT-code), using
- strength reduction [i] based on linear OOA(2102, 42, F2, 3, 53) (dual of [(42, 3), 24, 54]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(168, 14, F16, 8) (dual of [14, 6, 9]-code or 14-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OA(168, 14, F16, 8) (dual of [14, 6, 9]-code or 14-arc in PG(7,16)), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(2102, 42, F2, 3, 53) (dual of [(42, 3), 24, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2102, 42, F2, 3, 52) (dual of [(42, 3), 24, 53]-NRT-code), using
- linear OOA(2116, 39, F2, 3, 104) (dual of [(39, 3), 1, 105]-NRT-code), using
- strength reduction [i] based on linear OOA(2116, 39, F2, 3, 116) (dual of [(39, 3), 1, 117]-NRT-code), using
- dual of repetition NRT-code with length 39 [i]
- strength reduction [i] based on linear OOA(2116, 39, F2, 3, 116) (dual of [(39, 3), 1, 117]-NRT-code), 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
None.