Information on Result #1028660
Linear OOA(2205, 75, F2, 3, 120) (dual of [(75, 3), 20, 121]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 15, F16, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [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, 75, F2, 3, 119) (dual of [(75, 3), 20, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2205, 75, F2, 3, 118) (dual of [(75, 3), 20, 119]-NRT-code) | [i] | ||
| 3 | Linear OOA(2205, 75, F2, 3, 117) (dual of [(75, 3), 20, 118]-NRT-code) | [i] | ||
| 4 | Linear OOA(2205, 75, F2, 3, 116) (dual of [(75, 3), 20, 117]-NRT-code) | [i] | ||
| 5 | Linear OOA(2205, 75, F2, 3, 115) (dual of [(75, 3), 20, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2205, 75, F2, 3, 114) (dual of [(75, 3), 20, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2205, 75, F2, 3, 113) (dual of [(75, 3), 20, 114]-NRT-code) | [i] | ||
| 8 | Linear OOA(2205, 75, F2, 3, 112) (dual of [(75, 3), 20, 113]-NRT-code) | [i] | ||
| 9 | Linear OOA(2205, 75, F2, 3, 111) (dual of [(75, 3), 20, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2205, 75, F2, 3, 110) (dual of [(75, 3), 20, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(2208, 76, F2, 3, 120) (dual of [(76, 3), 20, 121]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2206, 75, F2, 3, 120) (dual of [(75, 3), 19, 121]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2207, 75, F2, 3, 120) (dual of [(75, 3), 18, 121]-NRT-code) | [i] | ||
| 14 | Linear OOA(2204, 74, F2, 3, 119) (dual of [(74, 3), 18, 120]-NRT-code) | [i] | Truncation for OOAs | |
| 15 | Linear OOA(2203, 74, F2, 3, 118) (dual of [(74, 3), 19, 119]-NRT-code) | [i] | ||
| 16 | Linear OOA(2202, 74, F2, 3, 117) (dual of [(74, 3), 20, 118]-NRT-code) | [i] | ||
| 17 | Linear OOA(2201, 73, F2, 3, 116) (dual of [(73, 3), 18, 117]-NRT-code) | [i] | ||
| 18 | Linear OOA(2200, 73, F2, 3, 115) (dual of [(73, 3), 19, 116]-NRT-code) | [i] | ||
| 19 | Linear OOA(2199, 73, F2, 3, 114) (dual of [(73, 3), 20, 115]-NRT-code) | [i] | ||
| 20 | Linear OOA(2198, 72, F2, 3, 113) (dual of [(72, 3), 18, 114]-NRT-code) | [i] | ||
| 21 | Linear OOA(2197, 72, F2, 3, 112) (dual of [(72, 3), 19, 113]-NRT-code) | [i] | ||
| 22 | Linear OOA(2195, 71, F2, 3, 110) (dual of [(71, 3), 18, 111]-NRT-code) | [i] | ||
| 23 | Linear OOA(2194, 71, F2, 3, 109) (dual of [(71, 3), 19, 110]-NRT-code) | [i] | ||
| 24 | Linear OOA(2193, 71, F2, 3, 108) (dual of [(71, 3), 20, 109]-NRT-code) | [i] | ||
| 25 | Linear OOA(2205, 37, F2, 6, 120) (dual of [(37, 6), 17, 121]-NRT-code) | [i] | OOA Folding | |