Information on Result #605487
Linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using dual of repetition code with length 3
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 OA(16126, 1048597, F16, 23) (dual of [1048597, 1048471, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(16108, 1048594, F16, 20) (dual of [1048594, 1048486, 21]-code) | [i] | ||
| 3 | Linear OA(1690, 1048591, F16, 17) (dual of [1048591, 1048501, 18]-code) | [i] | ||
| 4 | Linear OA(1651, 4108, F16, 14) (dual of [4108, 4057, 15]-code) | [i] | ||
| 5 | Linear OA(1665, 131084, F16, 14) (dual of [131084, 131019, 15]-code) | [i] | ||
| 6 | Linear OA(1677, 1048588, F16, 14) (dual of [1048588, 1048511, 15]-code) | [i] | ||
| 7 | Linear OA(1654, 1048585, F16, 10) (dual of [1048585, 1048531, 11]-code) | [i] | ||
| 8 | Linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 9 | Linear OA(1627, 4102, F16, 8) (dual of [4102, 4075, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(1635, 131078, F16, 8) (dual of [131078, 131043, 9]-code) | [i] | ||
| 11 | Linear OA(1641, 1048582, F16, 8) (dual of [1048582, 1048541, 9]-code) | [i] | ||
| 12 | Linear OA(1615, 4100, F16, 5) (dual of [4100, 4085, 6]-code) | [i] | Construction X with Cyclic Codes | |
| 13 | Linear OA(1619, 65540, F16, 5) (dual of [65540, 65521, 6]-code) | [i] | ||
| 14 | Linear OA(1623, 1048580, F16, 5) (dual of [1048580, 1048557, 6]-code) | [i] | ||
| 15 | Linear OA(169, 20, F16, 7) (dual of [20, 11, 8]-code) | [i] | ||
| 16 | Linear OA(1615, 260, F16, 7) (dual of [260, 245, 8]-code) | [i] | ||
| 17 | Linear OA(1621, 4100, F16, 7) (dual of [4100, 4079, 8]-code) | [i] | ||
| 18 | Linear OA(1627, 65540, F16, 7) (dual of [65540, 65513, 8]-code) | [i] | ||
| 19 | Linear OA(1633, 1048580, F16, 7) (dual of [1048580, 1048547, 8]-code) | [i] | ||
| 20 | Linear OA(1611, 20, F16, 9) (dual of [20, 9, 10]-code) | [i] | ||
| 21 | Linear OA(1613, 20, F16, 11) (dual of [20, 7, 12]-code) | [i] | ||
| 22 | Linear OA(1615, 20, F16, 13) (dual of [20, 5, 14]-code) | [i] | ||
| 23 | Linear OA(1675, 136, F16, 16) (dual of [136, 61, 17]-code) | [i] | ||
| 24 | Linear OA(1639, 48, F16, 23) (dual of [48, 9, 24]-code) | [i] | ||
| 25 | Linear OA(1640, 48, F16, 26) (dual of [48, 8, 27]-code) | [i] | ||
| 26 | Linear OA(1641, 48, F16, 29) (dual of [48, 7, 30]-code) | [i] | ||
| 27 | Linear OA(1642, 48, F16, 32) (dual of [48, 6, 33]-code) | [i] | ||
| 28 | Linear OA(16105, 136, F16, 32) (dual of [136, 31, 33]-code) | [i] | ||
| 29 | Linear OA(1643, 48, F16, 35) (dual of [48, 5, 36]-code) | [i] | ||
| 30 | Linear OA(1644, 48, F16, 38) (dual of [48, 4, 39]-code) | [i] | ||
| 31 | Linear OA(1675, 94, F16, 45) (dual of [94, 19, 46]-code) | [i] | ||
| 32 | Linear OA(1679, 276, F16, 40) (dual of [276, 197, 41]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 33 | Linear OA(16111, 256, F16, 64) (dual of [256, 145, 65]-code) | [i] | Construction X with Varšamov Bound | |
| 34 | Linear OA(16112, 257, F16, 65) (dual of [257, 145, 66]-code) | [i] | ||