Information on Result #910509
Linear OOA(8137, 70, F8, 2, 127) (dual of [(70, 2), 3, 128]-NRT-code), using juxtaposition based on
- linear OOA(87, 5, F8, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- 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]
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(8137, 70, F8, 2, 126) (dual of [(70, 2), 3, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8147, 75, F8, 2, 135) (dual of [(75, 2), 3, 136]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(8149, 76, F8, 2, 137) (dual of [(76, 2), 3, 138]-NRT-code) | [i] | ||