Information on Result #2248888
Linear OA(855, 60, F8, 46) (dual of [60, 5, 47]-code), using 5 times truncation based on linear OA(860, 65, F8, 51) (dual of [65, 5, 52]-code), using
- construction X applied to AG(F,12P) ⊂ AG(F,13P) [i] based on
- linear OA(860, 64, F8, 51) (dual of [64, 4, 52]-code), using algebraic-geometric code AG(F,12P) 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(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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(8115, 120, F8, 93) (dual of [120, 5, 94]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8127, 132, F8, 102) (dual of [132, 5, 103]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(8171, 176, F8, 142) (dual of [176, 5, 143]-code) | [i] | ||
| 4 | Linear OOA(855, 30, F8, 2, 46) (dual of [(30, 2), 5, 47]-NRT-code) | [i] | OOA Folding | |