Information on Result #700500
Linear OA(260, 63, F2, 35) (dual of [63, 3, 36]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,5,7,9,11,13,15,21,23,31}, and minimum distance d ≥ |{−25,−14,−3,…,−29}|+1 = 36 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Repeating Each Code Word [i]
- Codes by De Boer and Brouwer (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(260, 63, F2, 34) (dual of [63, 3, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(260, 63, F2, 33) (dual of [63, 3, 34]-code) | [i] | ||
| 3 | Linear OA(261, 64, F2, 35) (dual of [64, 3, 36]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(259, 62, F2, 34) (dual of [62, 3, 35]-code) | [i] | Truncation | |
| 5 | Linear OA(258, 61, F2, 33) (dual of [61, 3, 34]-code) | [i] | ||
| 6 | Linear OA(272, 82, F2, 34) (dual of [82, 10, 35]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(269, 79, F2, 32) (dual of [79, 10, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(280, 98, F2, 32) (dual of [98, 18, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OOA(260, 21, F2, 3, 35) (dual of [(21, 3), 3, 36]-NRT-code) | [i] | OOA Folding | |