Information on Result #611095
Linear OA(2121, 32769, F2, 17) (dual of [32769, 32648, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2120, 32768, F2, 16) (dual of [32768, 32648, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2129, 32778, F2, 17) (dual of [32778, 32649, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2154, 32773, F2, 21) (dual of [32773, 32619, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2155, 32777, F2, 21) (dual of [32777, 32622, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2156, 32785, F2, 21) (dual of [32785, 32629, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2157, 32801, F2, 21) (dual of [32801, 32644, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2158, 32806, F2, 21) (dual of [32806, 32648, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2124, 32773, F2, 17) (dual of [32773, 32649, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2125, 32777, F2, 17) (dual of [32777, 32652, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2126, 32785, F2, 17) (dual of [32785, 32659, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2127, 32801, F2, 17) (dual of [32801, 32674, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2128, 32806, F2, 17) (dual of [32806, 32678, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2121, 10923, F2, 3, 17) (dual of [(10923, 3), 32648, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2121, 4096, F2, 17, 17) (dual of [(4096, 17), 69511, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |