Information on Result #941873
Linear OOA(4248, 127, F4, 2, 196) (dual of [(127, 2), 6, 197]-NRT-code), using juxtaposition based on
- linear OOA(48, 7, F4, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(48, 9, F4, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(48, 9, F4, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code), using
- linear OOA(4234, 120, F4, 2, 188) (dual of [(120, 2), 6, 189]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1621, 24, F16, 20) (dual of [24, 3, 21]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1621, 24, F16, 20) (dual of [24, 3, 21]-code), using
- concatenation of two NRT-codes [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(4248, 127, F4, 2, 195) (dual of [(127, 2), 6, 196]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4248, 127, F4, 2, 194) (dual of [(127, 2), 6, 195]-NRT-code) | [i] | ||
| 3 | Linear OOA(4248, 127, F4, 2, 193) (dual of [(127, 2), 6, 194]-NRT-code) | [i] | ||
| 4 | Linear OOA(4248, 127, F4, 2, 192) (dual of [(127, 2), 6, 193]-NRT-code) | [i] | ||
| 5 | Linear OOA(4248, 127, F4, 2, 191) (dual of [(127, 2), 6, 192]-NRT-code) | [i] | ||
| 6 | Linear OOA(4248, 127, F4, 2, 190) (dual of [(127, 2), 6, 191]-NRT-code) | [i] | ||
| 7 | Linear OOA(4248, 127, F4, 2, 189) (dual of [(127, 2), 6, 190]-NRT-code) | [i] | ||