Information on Result #604656
Linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using dual of repetition code with length 20
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(419, 20, F4, 18) (dual of [20, 1, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(419, 20, F4, 17) (dual of [20, 1, 18]-code) | [i] | ||
| 3 | Linear OA(419, 20, F4, 16) (dual of [20, 1, 17]-code) | [i] | ||
| 4 | Linear OA(4194, 4116, F4, 39) (dual of [4116, 3922, 40]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(4223, 16404, F4, 39) (dual of [16404, 16181, 40]-code) | [i] | ||
| 6 | Linear OA(4252, 65556, F4, 39) (dual of [65556, 65304, 40]-code) | [i] | ||
| 7 | Linear OA(4188, 4116, F4, 38) (dual of [4116, 3928, 39]-code) | [i] | ||
| 8 | Linear OA(4216, 16404, F4, 38) (dual of [16404, 16188, 39]-code) | [i] | ||
| 9 | Linear OA(4244, 65556, F4, 38) (dual of [65556, 65312, 39]-code) | [i] | ||
| 10 | Linear OA(444, 84, F4, 19) (dual of [84, 40, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(445, 90, F4, 19) (dual of [90, 45, 20]-code) | [i] | ||
| 12 | Linear OA(483, 1513, F4, 19) (dual of [1513, 1430, 20]-code) | [i] | ||
| 13 | Linear OA(4132, 277, F4, 41) (dual of [277, 145, 42]-code) | [i] | Construction X with Cyclic Codes | |
| 14 | Linear OA(4170, 1045, F4, 41) (dual of [1045, 875, 42]-code) | [i] | ||
| 15 | Linear OA(4128, 262165, F4, 19) (dual of [262165, 262037, 20]-code) | [i] | Construction X4 with Cyclic Codes | |
| 16 | Linear OA(4110, 262165, F4, 15) (dual of [262165, 262055, 16]-code) | [i] | ||
| 17 | Linear OA(474, 262165, F4, 11) (dual of [262165, 262091, 12]-code) | [i] | ||
| 18 | Linear OA(4110, 262164, F4, 16) (dual of [262164, 262054, 17]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(4101, 262164, F4, 15) (dual of [262164, 262063, 16]-code) | [i] | ||
| 20 | Linear OA(483, 262164, F4, 12) (dual of [262164, 262081, 13]-code) | [i] | ||
| 21 | Linear OA(456, 262164, F4, 8) (dual of [262164, 262108, 9]-code) | [i] | ||
| 22 | Linear OA(447, 262164, F4, 7) (dual of [262164, 262117, 8]-code) | [i] | ||
| 23 | Linear OA(474, 4116, F4, 15) (dual of [4116, 4042, 16]-code) | [i] | ||
| 24 | Linear OA(4248, 265, F4, 158) (dual of [265, 17, 159]-code) | [i] | Construction X with Varšamov Bound | |
| 25 | Linear OA(4249, 266, F4, 159) (dual of [266, 17, 160]-code) | [i] | ||
| 26 | Linear OA(4250, 267, F4, 160) (dual of [267, 17, 161]-code) | [i] | ||