Information on Result #616277
Linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(1698, 102, F16, 83) (dual of [102, 4, 84]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1689, 4113, F16, 27) (dual of [4113, 4024, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(16119, 131091, F16, 27) (dual of [131091, 130972, 28]-code) | [i] | ||
| 4 | Linear OA(1686, 4113, F16, 26) (dual of [4113, 4027, 27]-code) | [i] | ||
| 5 | Linear OA(16115, 131089, F16, 26) (dual of [131089, 130974, 27]-code) | [i] | ||
| 6 | Linear OA(1677, 81, F16, 69) (dual of [81, 4, 70]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(1693, 97, F16, 82) (dual of [97, 4, 83]-code) | [i] | ||
| 8 | Linear OA(1694, 98, F16, 83) (dual of [98, 4, 84]-code) | [i] | ||
| 9 | Linear OA(1680, 84, F16, 72) (dual of [84, 4, 73]-code) | [i] | ||
| 10 | Linear OA(477, 85, F4, 55) (dual of [85, 8, 56]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OOA(286, 51, F2, 2, 41) (dual of [(51, 2), 16, 42]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(2154, 85, F2, 2, 83) (dual of [(85, 2), 16, 84]-NRT-code) | [i] | ||
| 13 | Linear OOA(2188, 102, F2, 2, 97) (dual of [(102, 2), 16, 98]-NRT-code) | [i] | ||
| 14 | Linear OOA(2256, 136, F2, 2, 139) (dual of [(136, 2), 16, 140]-NRT-code) | [i] | ||
| 15 | Linear OOA(494, 51, F4, 2, 69) (dual of [(51, 2), 8, 70]-NRT-code) | [i] | ||
| 16 | Linear OOA(4128, 68, F4, 2, 97) (dual of [(68, 2), 8, 98]-NRT-code) | [i] | ||
| 17 | Linear OOA(4162, 85, F4, 2, 125) (dual of [(85, 2), 8, 126]-NRT-code) | [i] | ||
| 18 | Linear OOA(2137, 51, F2, 3, 83) (dual of [(51, 3), 16, 84]-NRT-code) | [i] | ||
| 19 | Linear OOA(2188, 68, F2, 3, 111) (dual of [(68, 3), 16, 112]-NRT-code) | [i] | ||
| 20 | Linear OOA(2239, 85, F2, 3, 153) (dual of [(85, 3), 16, 154]-NRT-code) | [i] | ||
| 21 | Linear OOA(2188, 51, F2, 4, 125) (dual of [(51, 4), 16, 126]-NRT-code) | [i] | ||
| 22 | Linear OOA(2256, 68, F2, 4, 167) (dual of [(68, 4), 16, 168]-NRT-code) | [i] | ||
| 23 | Linear OOA(2239, 51, F2, 5, 167) (dual of [(51, 5), 16, 168]-NRT-code) | [i] | ||
| 24 | Linear OA(1615, 20, F16, 13) (dual of [20, 5, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |