Information on Result #658768
Linear OA(857, 68, F8, 43) (dual of [68, 11, 44]-code), using construction X applied to AG(F,20P) ⊂ AG(F,23P) based on
- linear OA(856, 64, F8, 43) (dual of [64, 8, 44]-code), using algebraic-geometric code AG(F,20P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(856, 67, F8, 42) (dual of [67, 11, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(857, 34, F8, 2, 43) (dual of [(34, 2), 11, 44]-NRT-code) | [i] | OOA Folding | |