Information on Result #909909
Linear OOA(4217, 110, F4, 2, 181) (dual of [(110, 2), 3, 182]-NRT-code), using juxtaposition based on
- linear OOA(43, 3, F4, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,4) [i]
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- linear OOA(4211, 107, F4, 2, 177) (dual of [(107, 2), 3, 178]-NRT-code), using
- strength reduction [i] based on linear OOA(4211, 107, F4, 2, 179) (dual of [(107, 2), 3, 180]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(413, 8, F4, 2, 12) (dual of [(8, 2), 3, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- linear OOA(4195, 99, F4, 2, 166) (dual of [(99, 2), 3, 167]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [i]
- linear OOA(4185, 94, F4, 2, 158) (dual of [(94, 2), 3, 159]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code) (see above)
- linear OOA(4175, 89, F4, 2, 150) (dual of [(89, 2), 3, 151]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code) (see above)
- linear OOA(4165, 84, F4, 2, 142) (dual of [(84, 2), 3, 143]-NRT-code), using
- 1 step truncation [i] based on linear OOA(4166, 85, F4, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- extended Reed–Solomon code RSe(2,16) [i]
- Simplex code S(2,16) [i]
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(4166, 85, F4, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(413, 8, F4, 2, 12) (dual of [(8, 2), 3, 13]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(4211, 107, F4, 2, 179) (dual of [(107, 2), 3, 180]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4217, 110, F4, 2, 180) (dual of [(110, 2), 3, 181]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4217, 110, F4, 2, 179) (dual of [(110, 2), 3, 180]-NRT-code) | [i] | ||
| 3 | Linear OOA(4217, 110, F4, 2, 178) (dual of [(110, 2), 3, 179]-NRT-code) | [i] | ||
| 4 | Linear OOA(4217, 110, F4, 2, 177) (dual of [(110, 2), 3, 178]-NRT-code) | [i] | ||
| 5 | Linear OOA(4217, 110, F4, 2, 176) (dual of [(110, 2), 3, 177]-NRT-code) | [i] | ||