Information on Result #633831
Linear OA(457, 69, F4, 33) (dual of [69, 12, 34]-code), using concatenation of two codes based on
- linear OA(1617, 23, F16, 16) (dual of [23, 6, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.
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(2180, 198, F2, 67) (dual of [198, 18, 68]-code) | [i] | Concatenation of Two Codes | |