Information on Result #1028675
Linear OOA(2217, 75, F2, 3, 153) (dual of [(75, 3), 8, 154]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 15, F16, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), 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(2217, 75, F2, 3, 152) (dual of [(75, 3), 8, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2217, 75, F2, 3, 151) (dual of [(75, 3), 8, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(2217, 75, F2, 3, 150) (dual of [(75, 3), 8, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(2217, 75, F2, 3, 149) (dual of [(75, 3), 8, 150]-NRT-code) | [i] | ||
| 5 | Linear OOA(2217, 75, F2, 3, 148) (dual of [(75, 3), 8, 149]-NRT-code) | [i] | ||
| 6 | Linear OOA(2217, 75, F2, 3, 147) (dual of [(75, 3), 8, 148]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 75, F2, 3, 146) (dual of [(75, 3), 8, 147]-NRT-code) | [i] | ||
| 8 | Linear OOA(2217, 75, F2, 3, 145) (dual of [(75, 3), 8, 146]-NRT-code) | [i] | ||
| 9 | Linear OOA(2217, 75, F2, 3, 144) (dual of [(75, 3), 8, 145]-NRT-code) | [i] | ||
| 10 | Linear OOA(2217, 75, F2, 3, 143) (dual of [(75, 3), 8, 144]-NRT-code) | [i] | ||
| 11 | Linear OOA(2220, 76, F2, 3, 153) (dual of [(76, 3), 8, 154]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2218, 75, F2, 3, 153) (dual of [(75, 3), 7, 154]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2216, 74, F2, 3, 152) (dual of [(74, 3), 6, 153]-NRT-code) | [i] | Truncation for OOAs | |
| 14 | Linear OOA(2215, 74, F2, 3, 151) (dual of [(74, 3), 7, 152]-NRT-code) | [i] | ||
| 15 | Linear OOA(2214, 74, F2, 3, 150) (dual of [(74, 3), 8, 151]-NRT-code) | [i] | ||
| 16 | Linear OOA(2213, 73, F2, 3, 149) (dual of [(73, 3), 6, 150]-NRT-code) | [i] | ||
| 17 | Linear OOA(2212, 73, F2, 3, 148) (dual of [(73, 3), 7, 149]-NRT-code) | [i] | ||
| 18 | Linear OOA(2211, 73, F2, 3, 147) (dual of [(73, 3), 8, 148]-NRT-code) | [i] | ||
| 19 | Linear OOA(2209, 72, F2, 3, 145) (dual of [(72, 3), 7, 146]-NRT-code) | [i] | ||
| 20 | Linear OOA(2208, 72, F2, 3, 144) (dual of [(72, 3), 8, 145]-NRT-code) | [i] | ||
| 21 | Linear OOA(2207, 71, F2, 3, 143) (dual of [(71, 3), 6, 144]-NRT-code) | [i] | ||
| 22 | Linear OOA(2206, 71, F2, 3, 142) (dual of [(71, 3), 7, 143]-NRT-code) | [i] | ||
| 23 | Linear OOA(2205, 71, F2, 3, 141) (dual of [(71, 3), 8, 142]-NRT-code) | [i] | ||
| 24 | Linear OOA(2203, 70, F2, 3, 139) (dual of [(70, 3), 7, 140]-NRT-code) | [i] | ||
| 25 | Linear OOA(2200, 69, F2, 3, 136) (dual of [(69, 3), 7, 137]-NRT-code) | [i] | ||
| 26 | Linear OOA(2199, 69, F2, 3, 135) (dual of [(69, 3), 8, 136]-NRT-code) | [i] | ||
| 27 | Linear OOA(2197, 68, F2, 3, 133) (dual of [(68, 3), 7, 134]-NRT-code) | [i] | ||
| 28 | Linear OOA(2196, 68, F2, 3, 132) (dual of [(68, 3), 8, 133]-NRT-code) | [i] | ||
| 29 | Linear OOA(2194, 67, F2, 3, 130) (dual of [(67, 3), 7, 131]-NRT-code) | [i] | ||
| 30 | Linear OOA(2193, 67, F2, 3, 129) (dual of [(67, 3), 8, 130]-NRT-code) | [i] | ||
| 31 | Linear OOA(2191, 66, F2, 3, 127) (dual of [(66, 3), 7, 128]-NRT-code) | [i] | ||
| 32 | Linear OOA(2190, 66, F2, 3, 126) (dual of [(66, 3), 8, 127]-NRT-code) | [i] | ||
| 33 | Linear OOA(2217, 37, F2, 6, 153) (dual of [(37, 6), 5, 154]-NRT-code) | [i] | OOA Folding | |