Information on Result #616254
Linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(1696, 102, F16, 71) (dual of [102, 6, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16130, 136, F16, 95) (dual of [136, 6, 96]-code) | [i] | ||
| 3 | Linear OA(1675, 4113, F16, 23) (dual of [4113, 4038, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(16101, 131091, F16, 23) (dual of [131091, 130990, 24]-code) | [i] | ||
| 5 | Linear OA(16117, 1048593, F16, 23) (dual of [1048593, 1048476, 24]-code) | [i] | ||
| 6 | Linear OA(1672, 4113, F16, 22) (dual of [4113, 4041, 23]-code) | [i] | ||
| 7 | Linear OA(1697, 131089, F16, 22) (dual of [131089, 130992, 23]-code) | [i] | ||
| 8 | Linear OA(16112, 1048593, F16, 22) (dual of [1048593, 1048481, 23]-code) | [i] | ||
| 9 | Linear OA(1693, 119, F16, 59) (dual of [119, 26, 60]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(1682, 119, F16, 47) (dual of [119, 37, 48]-code) | [i] | ||
| 11 | Linear OA(1675, 81, F16, 65) (dual of [81, 6, 66]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(1676, 82, F16, 66) (dual of [82, 6, 67]-code) | [i] | ||
| 13 | Linear OA(2112, 136, F2, 47) (dual of [136, 24, 48]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OA(439, 51, F4, 23) (dual of [51, 12, 24]-code) | [i] | ||
| 15 | Linear OA(456, 68, F4, 35) (dual of [68, 12, 36]-code) | [i] | ||
| 16 | Linear OA(473, 85, F4, 47) (dual of [85, 12, 48]-code) | [i] | ||
| 17 | Linear OOA(278, 51, F2, 2, 35) (dual of [(51, 2), 24, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(2146, 85, F2, 2, 71) (dual of [(85, 2), 24, 72]-NRT-code) | [i] | ||
| 19 | Linear OOA(4124, 68, F4, 2, 83) (dual of [(68, 2), 12, 84]-NRT-code) | [i] | ||
| 20 | Linear OOA(4158, 85, F4, 2, 107) (dual of [(85, 2), 12, 108]-NRT-code) | [i] | ||
| 21 | Linear OOA(2129, 51, F2, 3, 71) (dual of [(51, 3), 24, 72]-NRT-code) | [i] | ||
| 22 | Linear OOA(2231, 85, F2, 3, 131) (dual of [(85, 3), 24, 132]-NRT-code) | [i] | ||
| 23 | Linear OOA(2180, 51, F2, 4, 107) (dual of [(51, 4), 24, 108]-NRT-code) | [i] | ||
| 24 | Linear OA(1674, 81, F16, 63) (dual of [81, 7, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 25 | Linear OA(16124, 1048610, F16, 23) (dual of [1048610, 1048486, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 26 | Linear OA(16119, 1048610, F16, 22) (dual of [1048610, 1048491, 23]-code) | [i] | ||
| 27 | Linear OA(1613, 20, F16, 11) (dual of [20, 7, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 28 | Linear OA(16128, 274, F16, 71) (dual of [274, 146, 72]-code) | [i] | ||
| 29 | Linear OA(16124, 274, F16, 69) (dual of [274, 150, 70]-code) | [i] | ||