Information on Result #942115
Linear OOA(4255, 129, F4, 2, 217) (dual of [(129, 2), 3, 218]-NRT-code), using juxtaposition based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4237, 120, F4, 2, 202) (dual of [(120, 2), 3, 203]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
- linear OOA(4219, 111, F4, 2, 187) (dual of [(111, 2), 3, 188]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
- linear OOA(4201, 102, F4, 2, 172) (dual of [(102, 2), 3, 173]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
- linear OOA(4183, 93, F4, 2, 157) (dual of [(93, 2), 3, 158]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-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
- juxtaposition [i] based on
- juxtaposition [i] based on
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(4255, 129, F4, 2, 216) (dual of [(129, 2), 3, 217]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4252, 127, F4, 2, 214) (dual of [(127, 2), 2, 215]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4250, 126, F4, 2, 212) (dual of [(126, 2), 2, 213]-NRT-code) | [i] | ||
| 4 | Linear OOA(4244, 123, F4, 2, 206) (dual of [(123, 2), 2, 207]-NRT-code) | [i] | ||
| 5 | Linear OOA(4242, 122, F4, 2, 204) (dual of [(122, 2), 2, 205]-NRT-code) | [i] | ||
| 6 | Linear OOA(4240, 121, F4, 2, 202) (dual of [(121, 2), 2, 203]-NRT-code) | [i] | ||
| 7 | Linear OOA(4236, 119, F4, 2, 198) (dual of [(119, 2), 2, 199]-NRT-code) | [i] | ||
| 8 | Linear OOA(4234, 118, F4, 2, 196) (dual of [(118, 2), 2, 197]-NRT-code) | [i] | ||