Information on Result #702330
Linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32
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]
- Primitive BCH-Codes (hidden) [i]
- 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(2147, 531, F2, 33) (dual of [531, 384, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2174, 549, F2, 39) (dual of [549, 375, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(2173, 541, F2, 39) (dual of [541, 368, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2188, 561, F2, 40) (dual of [561, 373, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(2188, 558, F2, 41) (dual of [558, 370, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2203, 576, F2, 42) (dual of [576, 373, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(2203, 573, F2, 43) (dual of [573, 370, 44]-code) | [i] | ✔ | |
| 8 | Linear OOA(2136, 170, F2, 3, 31) (dual of [(170, 3), 374, 32]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2136, 102, F2, 5, 31) (dual of [(102, 5), 374, 32]-NRT-code) | [i] | ||