Information on Result #736372
Linear OA(421, 28, F4, 15) (dual of [28, 7, 16]-code), using a quasi-cyclic code by Gulliver and Bhargava
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(421, 28, F4, 14) (dual of [28, 7, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(422, 29, F4, 15) (dual of [29, 7, 16]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(420, 27, F4, 14) (dual of [27, 7, 15]-code) | [i] | Truncation | |
| 4 | Linear OA(419, 26, F4, 13) (dual of [26, 7, 14]-code) | [i] | ||
| 5 | Linear OOA(298, 56, F2, 2, 47) (dual of [(56, 2), 14, 48]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 6 | Linear OOA(2154, 84, F2, 2, 79) (dual of [(84, 2), 14, 80]-NRT-code) | [i] | ||
| 7 | Linear OOA(2238, 84, F2, 3, 127) (dual of [(84, 3), 14, 128]-NRT-code) | [i] | ||
| 8 | Linear OA(483, 91, F4, 57) (dual of [91, 8, 58]-code) | [i] | Construction X with Cyclic Codes | |
| 9 | Linear OA(484, 92, F4, 58) (dual of [92, 8, 59]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 10 | Linear OA(485, 93, F4, 59) (dual of [93, 8, 60]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 11 | Linear OOA(421, 14, F4, 2, 15) (dual of [(14, 2), 7, 16]-NRT-code) | [i] | OOA Folding | |