Information on Result #1088007
Linear OOA(2205, 55, F2, 4, 134) (dual of [(55, 4), 15, 135]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(328, 11, F32, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- linear OOA(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(2205, 55, F2, 4, 133) (dual of [(55, 4), 15, 134]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2205, 55, F2, 4, 132) (dual of [(55, 4), 15, 133]-NRT-code) | [i] | ||
| 3 | Linear OOA(2205, 55, F2, 4, 131) (dual of [(55, 4), 15, 132]-NRT-code) | [i] | ||
| 4 | Linear OOA(2205, 55, F2, 4, 130) (dual of [(55, 4), 15, 131]-NRT-code) | [i] | ||
| 5 | Linear OOA(2205, 55, F2, 4, 129) (dual of [(55, 4), 15, 130]-NRT-code) | [i] | ||
| 6 | Linear OOA(2205, 55, F2, 4, 128) (dual of [(55, 4), 15, 129]-NRT-code) | [i] | ||
| 7 | Linear OOA(2205, 55, F2, 4, 127) (dual of [(55, 4), 15, 128]-NRT-code) | [i] | ||
| 8 | Linear OOA(2209, 56, F2, 4, 134) (dual of [(56, 4), 15, 135]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2206, 55, F2, 4, 134) (dual of [(55, 4), 14, 135]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(2207, 55, F2, 4, 134) (dual of [(55, 4), 13, 135]-NRT-code) | [i] | ||
| 11 | Linear OOA(2203, 54, F2, 4, 132) (dual of [(54, 4), 13, 133]-NRT-code) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2202, 54, F2, 4, 131) (dual of [(54, 4), 14, 132]-NRT-code) | [i] | ||
| 13 | Linear OOA(2201, 54, F2, 4, 130) (dual of [(54, 4), 15, 131]-NRT-code) | [i] | ||
| 14 | Linear OOA(2197, 53, F2, 4, 126) (dual of [(53, 4), 15, 127]-NRT-code) | [i] | ||
| 15 | Linear OOA(2193, 52, F2, 4, 122) (dual of [(52, 4), 15, 123]-NRT-code) | [i] | ||
| 16 | Linear OOA(2189, 51, F2, 4, 118) (dual of [(51, 4), 15, 119]-NRT-code) | [i] | ||