Information on Result #616230
Linear OA(169, 17, F16, 9) (dual of [17, 8, 10]-code or 17-arc in PG(8,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1661, 4113, F16, 19) (dual of [4113, 4052, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1683, 131091, F16, 19) (dual of [131091, 131008, 20]-code) | [i] | ||
| 3 | Linear OA(1695, 1048593, F16, 19) (dual of [1048593, 1048498, 20]-code) | [i] | ||
| 4 | Linear OA(1658, 4113, F16, 18) (dual of [4113, 4055, 19]-code) | [i] | ||
| 5 | Linear OA(1679, 131089, F16, 18) (dual of [131089, 131010, 19]-code) | [i] | ||
| 6 | Linear OA(1690, 1048593, F16, 18) (dual of [1048593, 1048503, 19]-code) | [i] | ||
| 7 | Linear OA(1693, 119, F16, 59) (dual of [119, 26, 60]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(1682, 119, F16, 47) (dual of [119, 37, 48]-code) | [i] | ||
| 9 | Linear OA(1674, 82, F16, 61) (dual of [82, 8, 62]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(2104, 136, F2, 39) (dual of [136, 32, 40]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(452, 68, F4, 29) (dual of [68, 16, 30]-code) | [i] | ||
| 12 | Linear OA(469, 85, F4, 39) (dual of [85, 16, 40]-code) | [i] | ||
| 13 | Linear OOA(270, 51, F2, 2, 29) (dual of [(51, 2), 32, 30]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 14 | Linear OOA(2138, 85, F2, 2, 59) (dual of [(85, 2), 32, 60]-NRT-code) | [i] | ||
| 15 | Linear OOA(2121, 51, F2, 3, 59) (dual of [(51, 3), 32, 60]-NRT-code) | [i] | ||
| 16 | Linear OA(1672, 81, F16, 59) (dual of [81, 9, 60]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 17 | Linear OA(1670, 81, F16, 57) (dual of [81, 11, 58]-code) | [i] | ||
| 18 | Linear OA(1673, 82, F16, 60) (dual of [82, 9, 61]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 19 | Linear OA(1672, 82, F16, 59) (dual of [82, 10, 60]-code) | [i] | ||
| 20 | Linear OA(1671, 82, F16, 58) (dual of [82, 11, 59]-code) | [i] | ||
| 21 | Linear OA(16105, 4130, F16, 29) (dual of [4130, 4025, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 22 | Linear OA(16101, 1048610, F16, 19) (dual of [1048610, 1048509, 20]-code) | [i] | ||
| 23 | Linear OA(1696, 1048610, F16, 18) (dual of [1048610, 1048514, 19]-code) | [i] | ||
| 24 | Linear OA(1611, 20, F16, 9) (dual of [20, 9, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 25 | Linear OA(16122, 274, F16, 67) (dual of [274, 152, 68]-code) | [i] | ||
| 26 | Linear OA(1683, 113, F16, 51) (dual of [113, 30, 52]-code) | [i] | Construction XX with Cyclic Codes | |
| 27 | Linear OA(1686, 116, F16, 52) (dual of [116, 30, 53]-code) | [i] | ||
| 28 | Linear OA(1687, 112, F16, 56) (dual of [112, 25, 57]-code) | [i] | ||
| 29 | Linear OA(1686, 110, F16, 56) (dual of [110, 24, 57]-code) | [i] | ||