Information on Result #1092374
Linear OOA(8180, 377, F81, 4, 48) (dual of [(377, 4), 1428, 49]-NRT-code), using construction X applied to AG(4;F,1427P) ⊂ AG(4;F,1444P) based on
- linear OOA(8164, 369, F81, 4, 48) (dual of [(369, 4), 1412, 49]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1427P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8147, 369, F81, 4, 31) (dual of [(369, 4), 1429, 32]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1444P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8116, 8, F81, 4, 16) (dual of [(8, 4), 16, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8116, 81, F81, 4, 16) (dual of [(81, 4), 308, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(4;308,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8116, 81, F81, 4, 16) (dual of [(81, 4), 308, 17]-NRT-code), 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 OOA(8180, 377, F81, 4, 47) (dual of [(377, 4), 1428, 48]-NRT-code) | [i] | Strength Reduction for OOAs | |