Information on Result #1028930
Linear OOA(2230, 85, F2, 3, 129) (dual of [(85, 3), 25, 130]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3212, 17, F32, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,32)), using
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- Reed–Solomon code RS(20,32) [i]
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2230, 85, F2, 3, 128) (dual of [(85, 3), 25, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2230, 85, F2, 3, 127) (dual of [(85, 3), 25, 128]-NRT-code) | [i] | ||
| 3 | Linear OOA(2230, 85, F2, 3, 126) (dual of [(85, 3), 25, 127]-NRT-code) | [i] | ||
| 4 | Linear OOA(2230, 85, F2, 3, 125) (dual of [(85, 3), 25, 126]-NRT-code) | [i] | ||
| 5 | Linear OOA(2230, 85, F2, 3, 124) (dual of [(85, 3), 25, 125]-NRT-code) | [i] | ||
| 6 | Linear OOA(2230, 85, F2, 3, 123) (dual of [(85, 3), 25, 124]-NRT-code) | [i] | ||
| 7 | Linear OOA(2233, 86, F2, 3, 129) (dual of [(86, 3), 25, 130]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2232, 85, F2, 3, 129) (dual of [(85, 3), 23, 130]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2229, 84, F2, 3, 128) (dual of [(84, 3), 23, 129]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2228, 84, F2, 3, 127) (dual of [(84, 3), 24, 128]-NRT-code) | [i] | ||
| 11 | Linear OOA(2227, 84, F2, 3, 126) (dual of [(84, 3), 25, 127]-NRT-code) | [i] | ||
| 12 | Linear OOA(2226, 83, F2, 3, 125) (dual of [(83, 3), 23, 126]-NRT-code) | [i] | ||
| 13 | Linear OOA(2225, 83, F2, 3, 124) (dual of [(83, 3), 24, 125]-NRT-code) | [i] | ||
| 14 | Linear OOA(2224, 83, F2, 3, 123) (dual of [(83, 3), 25, 124]-NRT-code) | [i] | ||
| 15 | Linear OOA(2223, 82, F2, 3, 122) (dual of [(82, 3), 23, 123]-NRT-code) | [i] | ||
| 16 | Linear OOA(2222, 82, F2, 3, 121) (dual of [(82, 3), 24, 122]-NRT-code) | [i] | ||
| 17 | Linear OOA(2221, 82, F2, 3, 120) (dual of [(82, 3), 25, 121]-NRT-code) | [i] | ||
| 18 | Linear OOA(2220, 81, F2, 3, 119) (dual of [(81, 3), 23, 120]-NRT-code) | [i] | ||
| 19 | Linear OOA(2218, 81, F2, 3, 117) (dual of [(81, 3), 25, 118]-NRT-code) | [i] | ||