Information on Result #737971
Linear OA(450, 65, F4, 30) (dual of [65, 15, 31]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,10,11,13,22}, and minimum distance d ≥ |{−29,−27,−25,…,29}|+1 = 31 (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
- Contraction [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(450, 65, F4, 29) (dual of [65, 15, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(451, 66, F4, 30) (dual of [66, 15, 31]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(449, 64, F4, 29) (dual of [64, 15, 30]-code) | [i] | Truncation | |
| 4 | Linear OA(448, 63, F4, 28) (dual of [63, 15, 29]-code) | [i] | ||
| 5 | Linear OA(4115, 130, F4, 61) (dual of [130, 15, 62]-code) | [i] | Repeating Each Code Word | |
| 6 | Linear OA(2165, 195, F2, 61) (dual of [195, 30, 62]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(457, 84, F4, 28) (dual of [84, 27, 29]-code) | [i] | ✔ | Construction X with Cyclic Codes |