Information on Result #629812
Linear OA(2177, 325, F2, 45) (dual of [325, 148, 46]-code), using concatenation of two codes based on
- linear OA(1628, 65, F16, 22) (dual of [65, 37, 23]-code), using
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,42P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2177, 325, F2, 44) (dual of [325, 148, 45]-code) | [i] | Strength Reduction | |
2 | Linear OA(2178, 326, F2, 45) (dual of [326, 148, 46]-code) | [i] | Code Embedding in Larger Space | |
3 | Linear OA(2176, 324, F2, 44) (dual of [324, 148, 45]-code) | [i] | Truncation | |
4 | Linear OOA(2177, 162, F2, 2, 45) (dual of [(162, 2), 147, 46]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(2177, 108, F2, 3, 45) (dual of [(108, 3), 147, 46]-NRT-code) | [i] |