Information on Result #616500
Linear OA(1661, 257, F16, 35) (dual of [257, 196, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1661, 257, F16, 34) (dual of [257, 196, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1662, 258, F16, 35) (dual of [258, 196, 36]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(1658, 254, F16, 32) (dual of [254, 196, 33]-code) | [i] | Truncation | |
| 4 | Linear OA(1657, 253, F16, 31) (dual of [253, 196, 32]-code) | [i] | ||
| 5 | Linear OA(4122, 514, F4, 35) (dual of [514, 392, 36]-code) | [i] | Trace Code | |
| 6 | Linear OA(1669, 281, F16, 35) (dual of [281, 212, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(1677, 274, F16, 35) (dual of [274, 197, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(1666, 262, F16, 37) (dual of [262, 196, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(1666, 266, F16, 35) (dual of [266, 200, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(1672, 268, F16, 39) (dual of [268, 196, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(1668, 272, F16, 35) (dual of [272, 204, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(1678, 274, F16, 41) (dual of [274, 196, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(1685, 281, F16, 43) (dual of [281, 196, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(1683, 276, F16, 42) (dual of [276, 193, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |