Information on Result #702229
Linear OA(273, 511, F2, 17) (dual of [511, 438, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(284, 531, F2, 19) (dual of [531, 447, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(298, 545, F2, 21) (dual of [545, 447, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(293, 531, F2, 21) (dual of [531, 438, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2107, 545, F2, 23) (dual of [545, 438, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2106, 537, F2, 23) (dual of [537, 431, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(2120, 551, F2, 25) (dual of [551, 431, 26]-code) | [i] | ✔ | |
| 7 | Linear OOA(273, 102, F2, 5, 17) (dual of [(102, 5), 437, 18]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(273, 85, F2, 6, 17) (dual of [(85, 6), 437, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(273, 73, F2, 7, 17) (dual of [(73, 7), 438, 18]-NRT-code) | [i] | ||