Information on Result #701117
Linear OA(438, 65, F4, 22) (dual of [65, 27, 23]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,11,13}, and minimum distance d ≥ |{−21,−19,−17,…,21}|+1 = 23 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(438, 65, F4, 21) (dual of [65, 27, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(438, 65, F4, 20) (dual of [65, 27, 21]-code) | [i] | ||
| 3 | Linear OA(438, 65, F4, 19) (dual of [65, 27, 20]-code) | [i] | ||
| 4 | Linear OA(438, 65, F4, 18) (dual of [65, 27, 19]-code) | [i] | ||
| 5 | Linear OA(439, 66, F4, 22) (dual of [66, 27, 23]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(440, 67, F4, 22) (dual of [67, 27, 23]-code) | [i] | ||
| 7 | Linear OA(435, 62, F4, 19) (dual of [62, 27, 20]-code) | [i] | Truncation | |
| 8 | Linear OA(434, 61, F4, 18) (dual of [61, 27, 19]-code) | [i] | ||
| 9 | Linear OA(433, 60, F4, 17) (dual of [60, 27, 18]-code) | [i] | ||
| 10 | Linear OA(432, 59, F4, 16) (dual of [59, 27, 17]-code) | [i] | ||
| 11 | Linear OA(431, 58, F4, 15) (dual of [58, 27, 16]-code) | [i] | ||
| 12 | Linear OA(430, 57, F4, 14) (dual of [57, 27, 15]-code) | [i] | ||
| 13 | Linear OA(4103, 130, F4, 45) (dual of [130, 27, 46]-code) | [i] | Repeating Each Code Word | |
| 14 | Linear OA(449, 77, F4, 22) (dual of [77, 28, 23]-code) | [i] | (u, u+v)-Construction | |
| 15 | Linear OA(451, 82, F4, 22) (dual of [82, 31, 23]-code) | [i] | ||
| 16 | Linear OA(453, 95, F4, 22) (dual of [95, 42, 23]-code) | [i] | ||
| 17 | Linear OA(2141, 195, F2, 45) (dual of [195, 54, 46]-code) | [i] | Concatenation of Two Codes | |
| 18 | Linear OA(449, 86, F4, 22) (dual of [86, 37, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 19 | Linear OA(450, 90, F4, 22) (dual of [90, 40, 23]-code) | [i] | ||
| 20 | Linear OA(451, 95, F4, 22) (dual of [95, 44, 23]-code) | [i] | ||
| 21 | Linear OA(439, 68, F4, 18) (dual of [68, 29, 19]-code) | [i] | ||
| 22 | Linear OA(445, 72, F4, 24) (dual of [72, 27, 25]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 23 | Linear OA(457, 84, F4, 28) (dual of [84, 27, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(443, 71, F4, 22) (dual of [71, 28, 23]-code) | [i] | Construction X with Varšamov Bound | |