Information on Result #918010
Linear OOA(4232, 140, F4, 2, 131) (dual of [(140, 2), 48, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1646, 35, F16, 2, 43) (dual of [(35, 2), 24, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1646, 38, F16, 2, 43) (dual of [(38, 2), 30, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,32P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1646, 38, F16, 2, 43) (dual of [(38, 2), 30, 44]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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(4232, 140, F4, 2, 130) (dual of [(140, 2), 48, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4233, 140, F4, 2, 131) (dual of [(140, 2), 47, 132]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4231, 139, F4, 2, 130) (dual of [(139, 2), 47, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4230, 139, F4, 2, 129) (dual of [(139, 2), 48, 130]-NRT-code) | [i] | ||
| 5 | Linear OOA(4229, 138, F4, 2, 128) (dual of [(138, 2), 47, 129]-NRT-code) | [i] | ||
| 6 | Linear OOA(4227, 137, F4, 2, 126) (dual of [(137, 2), 47, 127]-NRT-code) | [i] | ||