Information on Result #910529
Linear OOA(8171, 87, F8, 2, 157) (dual of [(87, 2), 3, 158]-NRT-code), using juxtaposition based on
- linear OOA(813, 8, F8, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,8) [i]
- linear OOA(8155, 79, F8, 2, 143) (dual of [(79, 2), 3, 144]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(811, 7, F8, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 8, F8, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,8) [i]
- discarding factors / shortening the dual code based on linear OOA(811, 8, F8, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
- linear OOA(8141, 72, F8, 2, 131) (dual of [(72, 2), 3, 132]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(811, 7, F8, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code) (see above)
- linear OOA(8127, 65, F8, 2, 119) (dual of [(65, 2), 3, 120]-NRT-code), using
- standard lengthening with (d0,…,d1) = (118,119) [i] based on linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) 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]
- juxtaposition [i] based on
- linear OOA(811, 7, F8, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
- juxtaposition [i] based on
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(8171, 87, F8, 2, 156) (dual of [(87, 2), 3, 157]-NRT-code) | [i] | Strength Reduction for OOAs | |