Information on Result #610824
Linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using extended quadratic residue code Qe(20,4)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(49, 19, F4, 6) (dual of [19, 10, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(430, 40, F4, 15) (dual of [40, 10, 16]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(429, 38, F4, 15) (dual of [38, 9, 16]-code) | [i] | ||
| 4 | Linear OA(428, 36, F4, 15) (dual of [36, 8, 16]-code) | [i] | ||
| 5 | Linear OA(427, 34, F4, 15) (dual of [34, 7, 16]-code) | [i] | ||
| 6 | Linear OA(466, 1044, F4, 15) (dual of [1044, 978, 16]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(488, 16404, F4, 15) (dual of [16404, 16316, 16]-code) | [i] | ||
| 8 | Linear OA(499, 65556, F4, 15) (dual of [65556, 65457, 16]-code) | [i] | ||
| 9 | Linear OA(4110, 262164, F4, 15) (dual of [262164, 262054, 16]-code) | [i] | ||
| 10 | Linear OA(4121, 1048596, F4, 15) (dual of [1048596, 1048475, 16]-code) | [i] | ||
| 11 | Linear OA(4132, 4194324, F4, 15) (dual of [4194324, 4194192, 16]-code) | [i] | ||
| 12 | Linear OA(414, 37, F4, 7) (dual of [37, 23, 8]-code) | [i] | ||
| 13 | Linear OA(415, 40, F4, 7) (dual of [40, 25, 8]-code) | [i] | ||
| 14 | Linear OA(239, 57, F2, 15) (dual of [57, 18, 16]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(4115, 277, F4, 37) (dual of [277, 162, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(4107, 277, F4, 35) (dual of [277, 170, 36]-code) | [i] | ||
| 17 | Linear OA(447, 83, F4, 21) (dual of [83, 36, 22]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(449, 86, F4, 21) (dual of [86, 37, 22]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(4110, 120, F4, 67) (dual of [120, 10, 68]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 20 | Linear OA(4109, 118, F4, 67) (dual of [118, 9, 68]-code) | [i] | ||
| 21 | Linear OA(4108, 116, F4, 67) (dual of [116, 8, 68]-code) | [i] | ||
| 22 | Linear OA(4105, 112, F4, 67) (dual of [112, 7, 68]-code) | [i] | ||
| 23 | Linear OOA(410, 10, F4, 2, 7) (dual of [(10, 2), 10, 8]-NRT-code) | [i] | OOA Folding | |