Information on Result #1028666
Linear OOA(2209, 75, F2, 3, 131) (dual of [(75, 3), 16, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 15, F16, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), 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(2209, 75, F2, 3, 130) (dual of [(75, 3), 16, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 75, F2, 3, 129) (dual of [(75, 3), 16, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(2209, 75, F2, 3, 128) (dual of [(75, 3), 16, 129]-NRT-code) | [i] | ||
| 4 | Linear OOA(2209, 75, F2, 3, 127) (dual of [(75, 3), 16, 128]-NRT-code) | [i] | ||
| 5 | Linear OOA(2209, 75, F2, 3, 126) (dual of [(75, 3), 16, 127]-NRT-code) | [i] | ||
| 6 | Linear OOA(2209, 75, F2, 3, 125) (dual of [(75, 3), 16, 126]-NRT-code) | [i] | ||
| 7 | Linear OOA(2209, 75, F2, 3, 124) (dual of [(75, 3), 16, 125]-NRT-code) | [i] | ||
| 8 | Linear OOA(2209, 75, F2, 3, 123) (dual of [(75, 3), 16, 124]-NRT-code) | [i] | ||
| 9 | Linear OOA(2209, 75, F2, 3, 122) (dual of [(75, 3), 16, 123]-NRT-code) | [i] | ||
| 10 | Linear OOA(2209, 75, F2, 3, 121) (dual of [(75, 3), 16, 122]-NRT-code) | [i] | ||
| 11 | Linear OOA(2212, 76, F2, 3, 131) (dual of [(76, 3), 16, 132]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2210, 75, F2, 3, 131) (dual of [(75, 3), 15, 132]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2211, 75, F2, 3, 131) (dual of [(75, 3), 14, 132]-NRT-code) | [i] | ||
| 14 | Linear OOA(2208, 74, F2, 3, 130) (dual of [(74, 3), 14, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 15 | Linear OOA(2207, 74, F2, 3, 129) (dual of [(74, 3), 15, 130]-NRT-code) | [i] | ||
| 16 | Linear OOA(2206, 74, F2, 3, 128) (dual of [(74, 3), 16, 129]-NRT-code) | [i] | ||
| 17 | Linear OOA(2205, 73, F2, 3, 127) (dual of [(73, 3), 14, 128]-NRT-code) | [i] | ||
| 18 | Linear OOA(2204, 73, F2, 3, 126) (dual of [(73, 3), 15, 127]-NRT-code) | [i] | ||
| 19 | Linear OOA(2203, 73, F2, 3, 125) (dual of [(73, 3), 16, 126]-NRT-code) | [i] | ||
| 20 | Linear OOA(2202, 72, F2, 3, 124) (dual of [(72, 3), 14, 125]-NRT-code) | [i] | ||
| 21 | Linear OOA(2201, 72, F2, 3, 123) (dual of [(72, 3), 15, 124]-NRT-code) | [i] | ||
| 22 | Linear OOA(2200, 72, F2, 3, 122) (dual of [(72, 3), 16, 123]-NRT-code) | [i] | ||
| 23 | Linear OOA(2199, 71, F2, 3, 121) (dual of [(71, 3), 14, 122]-NRT-code) | [i] | ||
| 24 | Linear OOA(2198, 71, F2, 3, 120) (dual of [(71, 3), 15, 121]-NRT-code) | [i] | ||
| 25 | Linear OOA(2197, 71, F2, 3, 119) (dual of [(71, 3), 16, 120]-NRT-code) | [i] | ||
| 26 | Linear OOA(2196, 70, F2, 3, 118) (dual of [(70, 3), 14, 119]-NRT-code) | [i] | ||
| 27 | Linear OOA(2195, 70, F2, 3, 117) (dual of [(70, 3), 15, 118]-NRT-code) | [i] | ||
| 28 | Linear OOA(2193, 69, F2, 3, 115) (dual of [(69, 3), 14, 116]-NRT-code) | [i] | ||
| 29 | Linear OOA(2192, 69, F2, 3, 114) (dual of [(69, 3), 15, 115]-NRT-code) | [i] | ||
| 30 | Linear OOA(2190, 68, F2, 3, 112) (dual of [(68, 3), 14, 113]-NRT-code) | [i] | ||
| 31 | Linear OOA(2189, 68, F2, 3, 111) (dual of [(68, 3), 15, 112]-NRT-code) | [i] | ||
| 32 | Linear OOA(2187, 67, F2, 3, 109) (dual of [(67, 3), 14, 110]-NRT-code) | [i] | ||
| 33 | Linear OOA(2186, 67, F2, 3, 108) (dual of [(67, 3), 15, 109]-NRT-code) | [i] | ||
| 34 | Linear OOA(2185, 67, F2, 3, 107) (dual of [(67, 3), 16, 108]-NRT-code) | [i] | ||
| 35 | Linear OOA(2184, 66, F2, 3, 106) (dual of [(66, 3), 14, 107]-NRT-code) | [i] | ||
| 36 | Linear OOA(2183, 66, F2, 3, 105) (dual of [(66, 3), 15, 106]-NRT-code) | [i] | ||
| 37 | Linear OOA(2181, 65, F2, 3, 103) (dual of [(65, 3), 14, 104]-NRT-code) | [i] | ||
| 38 | Linear OOA(2180, 65, F2, 3, 102) (dual of [(65, 3), 15, 103]-NRT-code) | [i] | ||
| 39 | Linear OOA(2209, 37, F2, 6, 131) (dual of [(37, 6), 13, 132]-NRT-code) | [i] | OOA Folding | |