Information on Result #942000
Linear OOA(4184, 94, F4, 2, 157) (dual of [(94, 2), 4, 158]-NRT-code), using juxtaposition based on
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [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,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- 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
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(4184, 94, F4, 2, 156) (dual of [(94, 2), 4, 157]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4168, 86, F4, 2, 141) (dual of [(86, 2), 4, 142]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4164, 84, F4, 2, 137) (dual of [(84, 2), 4, 138]-NRT-code) | [i] | ||
| 4 | Linear OOA(4162, 83, F4, 2, 135) (dual of [(83, 2), 4, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(4160, 82, F4, 2, 133) (dual of [(82, 2), 4, 134]-NRT-code) | [i] | ||
| 6 | Linear OOA(4158, 81, F4, 2, 131) (dual of [(81, 2), 4, 132]-NRT-code) | [i] | ||
| 7 | Linear OOA(4157, 80, F4, 2, 130) (dual of [(80, 2), 3, 131]-NRT-code) | [i] | ||
| 8 | Linear OOA(4155, 79, F4, 2, 128) (dual of [(79, 2), 3, 129]-NRT-code) | [i] | ||
| 9 | Linear OOA(4154, 79, F4, 2, 127) (dual of [(79, 2), 4, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(4153, 78, F4, 2, 126) (dual of [(78, 2), 3, 127]-NRT-code) | [i] | ||
| 11 | Linear OOA(4152, 78, F4, 2, 125) (dual of [(78, 2), 4, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(4150, 77, F4, 2, 123) (dual of [(77, 2), 4, 124]-NRT-code) | [i] | ||
| 13 | Linear OOA(4148, 76, F4, 2, 121) (dual of [(76, 2), 4, 122]-NRT-code) | [i] | ||
| 14 | Linear OOA(4144, 74, F4, 2, 117) (dual of [(74, 2), 4, 118]-NRT-code) | [i] | ||
| 15 | Linear OOA(4142, 73, F4, 2, 115) (dual of [(73, 2), 4, 116]-NRT-code) | [i] | ||
| 16 | Linear OOA(4140, 72, F4, 2, 113) (dual of [(72, 2), 4, 114]-NRT-code) | [i] | ||
| 17 | Linear OOA(4139, 71, F4, 2, 112) (dual of [(71, 2), 3, 113]-NRT-code) | [i] | ||
| 18 | Linear OOA(4202, 103, F4, 2, 171) (dual of [(103, 2), 4, 172]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 19 | Linear OOA(4204, 104, F4, 2, 172) (dual of [(104, 2), 4, 173]-NRT-code) | [i] | ||
| 20 | Linear OOA(4208, 106, F4, 2, 175) (dual of [(106, 2), 4, 176]-NRT-code) | [i] | ||
| 21 | Linear OOA(4210, 107, F4, 2, 177) (dual of [(107, 2), 4, 178]-NRT-code) | [i] | ||
| 22 | Linear OOA(4212, 108, F4, 2, 179) (dual of [(108, 2), 4, 180]-NRT-code) | [i] | ||