Information on Result #633847
Linear OA(465, 87, F4, 33) (dual of [87, 22, 34]-code), using concatenation of two codes based on
- linear OA(1618, 29, F16, 16) (dual of [29, 11, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 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(464, 86, F4, 32) (dual of [86, 22, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(465, 43, F4, 2, 33) (dual of [(43, 2), 21, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(465, 29, F4, 3, 33) (dual of [(29, 3), 22, 34]-NRT-code) | [i] | ||