Information on Result #630179
Linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using concatenation of two codes based on
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [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(2208, 264, F2, 70) (dual of [264, 56, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2208, 264, F2, 69) (dual of [264, 56, 70]-code) | [i] | ||
| 3 | Linear OA(2208, 264, F2, 68) (dual of [264, 56, 69]-code) | [i] | ||
| 4 | Linear OA(2209, 265, F2, 71) (dual of [265, 56, 72]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2210, 266, F2, 71) (dual of [266, 56, 72]-code) | [i] | ||
| 6 | Linear OA(2211, 267, F2, 71) (dual of [267, 56, 72]-code) | [i] | ||
| 7 | Linear OA(2212, 268, F2, 71) (dual of [268, 56, 72]-code) | [i] | ||
| 8 | Linear OA(2213, 269, F2, 71) (dual of [269, 56, 72]-code) | [i] | ||
| 9 | Linear OA(2214, 270, F2, 71) (dual of [270, 56, 72]-code) | [i] | ||
| 10 | Linear OA(2215, 271, F2, 71) (dual of [271, 56, 72]-code) | [i] | ||
| 11 | Linear OA(2216, 272, F2, 71) (dual of [272, 56, 72]-code) | [i] | ||
| 12 | Linear OA(2217, 273, F2, 71) (dual of [273, 56, 72]-code) | [i] | ||
| 13 | Linear OA(2218, 274, F2, 71) (dual of [274, 56, 72]-code) | [i] | ||
| 14 | Linear OA(2207, 263, F2, 70) (dual of [263, 56, 71]-code) | [i] | Truncation | |
| 15 | Linear OA(2206, 262, F2, 69) (dual of [262, 56, 70]-code) | [i] | ||
| 16 | Linear OA(2205, 261, F2, 68) (dual of [261, 56, 69]-code) | [i] | ||
| 17 | Linear OOA(2208, 132, F2, 2, 71) (dual of [(132, 2), 56, 72]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2208, 88, F2, 3, 71) (dual of [(88, 3), 56, 72]-NRT-code) | [i] | ||