Information on Result #630192
Linear OA(2216, 264, F2, 79) (dual of [264, 48, 80]-code), using concatenation of two codes based on
- linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2216, 264, F2, 78) (dual of [264, 48, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2216, 264, F2, 77) (dual of [264, 48, 78]-code) | [i] | ||
| 3 | Linear OA(2216, 264, F2, 76) (dual of [264, 48, 77]-code) | [i] | ||
| 4 | Linear OA(2217, 265, F2, 79) (dual of [265, 48, 80]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2218, 266, F2, 79) (dual of [266, 48, 80]-code) | [i] | ||
| 6 | Linear OA(2219, 267, F2, 79) (dual of [267, 48, 80]-code) | [i] | ||
| 7 | Linear OA(2220, 268, F2, 79) (dual of [268, 48, 80]-code) | [i] | ||
| 8 | Linear OA(2221, 269, F2, 79) (dual of [269, 48, 80]-code) | [i] | ||
| 9 | Linear OA(2222, 270, F2, 79) (dual of [270, 48, 80]-code) | [i] | ||
| 10 | Linear OA(2223, 271, F2, 79) (dual of [271, 48, 80]-code) | [i] | ||
| 11 | Linear OA(2215, 263, F2, 78) (dual of [263, 48, 79]-code) | [i] | Truncation | |
| 12 | Linear OA(2214, 262, F2, 77) (dual of [262, 48, 78]-code) | [i] | ||
| 13 | Linear OA(2213, 261, F2, 76) (dual of [261, 48, 77]-code) | [i] | ||
| 14 | Linear OOA(2216, 132, F2, 2, 79) (dual of [(132, 2), 48, 80]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(2216, 88, F2, 3, 79) (dual of [(88, 3), 48, 80]-NRT-code) | [i] | ||