Information on Result #1028670
Linear OOA(2224, 80, F2, 3, 142) (dual of [(80, 3), 16, 143]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- 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(2224, 80, F2, 3, 141) (dual of [(80, 3), 16, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 80, F2, 3, 140) (dual of [(80, 3), 16, 141]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 80, F2, 3, 139) (dual of [(80, 3), 16, 140]-NRT-code) | [i] | ||
| 4 | Linear OOA(2224, 80, F2, 3, 138) (dual of [(80, 3), 16, 139]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 80, F2, 3, 137) (dual of [(80, 3), 16, 138]-NRT-code) | [i] | ||
| 6 | Linear OOA(2224, 80, F2, 3, 136) (dual of [(80, 3), 16, 137]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 80, F2, 3, 135) (dual of [(80, 3), 16, 136]-NRT-code) | [i] | ||
| 8 | Linear OOA(2224, 80, F2, 3, 134) (dual of [(80, 3), 16, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(2224, 80, F2, 3, 133) (dual of [(80, 3), 16, 134]-NRT-code) | [i] | ||
| 10 | Linear OOA(2224, 80, F2, 3, 132) (dual of [(80, 3), 16, 133]-NRT-code) | [i] | ||
| 11 | Linear OOA(2227, 81, F2, 3, 142) (dual of [(81, 3), 16, 143]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2225, 80, F2, 3, 142) (dual of [(80, 3), 15, 143]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2226, 80, F2, 3, 142) (dual of [(80, 3), 14, 143]-NRT-code) | [i] | ||
| 14 | Linear OOA(2223, 79, F2, 3, 141) (dual of [(79, 3), 14, 142]-NRT-code) | [i] | Truncation for OOAs | |
| 15 | Linear OOA(2222, 79, F2, 3, 140) (dual of [(79, 3), 15, 141]-NRT-code) | [i] | ||
| 16 | Linear OOA(2221, 79, F2, 3, 139) (dual of [(79, 3), 16, 140]-NRT-code) | [i] | ||
| 17 | Linear OOA(2220, 78, F2, 3, 138) (dual of [(78, 3), 14, 139]-NRT-code) | [i] | ||
| 18 | Linear OOA(2219, 78, F2, 3, 137) (dual of [(78, 3), 15, 138]-NRT-code) | [i] | ||
| 19 | Linear OOA(2218, 78, F2, 3, 136) (dual of [(78, 3), 16, 137]-NRT-code) | [i] | ||
| 20 | Linear OOA(2217, 77, F2, 3, 135) (dual of [(77, 3), 14, 136]-NRT-code) | [i] | ||
| 21 | Linear OOA(2216, 77, F2, 3, 134) (dual of [(77, 3), 15, 135]-NRT-code) | [i] | ||
| 22 | Linear OOA(2215, 77, F2, 3, 133) (dual of [(77, 3), 16, 134]-NRT-code) | [i] | ||
| 23 | Linear OOA(2214, 76, F2, 3, 132) (dual of [(76, 3), 14, 133]-NRT-code) | [i] | ||
| 24 | Linear OOA(2213, 76, F2, 3, 131) (dual of [(76, 3), 15, 132]-NRT-code) | [i] | ||
| 25 | Linear OOA(2212, 76, F2, 3, 130) (dual of [(76, 3), 16, 131]-NRT-code) | [i] | ||
| 26 | Linear OOA(2211, 75, F2, 3, 129) (dual of [(75, 3), 14, 130]-NRT-code) | [i] | ||
| 27 | Linear OOA(2210, 75, F2, 3, 128) (dual of [(75, 3), 15, 129]-NRT-code) | [i] | ||
| 28 | Linear OOA(2208, 74, F2, 3, 126) (dual of [(74, 3), 14, 127]-NRT-code) | [i] | ||
| 29 | Linear OOA(2207, 74, F2, 3, 125) (dual of [(74, 3), 15, 126]-NRT-code) | [i] | ||
| 30 | Linear OOA(2206, 74, F2, 3, 124) (dual of [(74, 3), 16, 125]-NRT-code) | [i] | ||
| 31 | Linear OOA(2205, 73, F2, 3, 123) (dual of [(73, 3), 14, 124]-NRT-code) | [i] | ||
| 32 | Linear OOA(2204, 73, F2, 3, 122) (dual of [(73, 3), 15, 123]-NRT-code) | [i] | ||
| 33 | Linear OOA(2203, 73, F2, 3, 121) (dual of [(73, 3), 16, 122]-NRT-code) | [i] | ||
| 34 | Linear OOA(2202, 72, F2, 3, 120) (dual of [(72, 3), 14, 121]-NRT-code) | [i] | ||
| 35 | Linear OOA(2201, 72, F2, 3, 119) (dual of [(72, 3), 15, 120]-NRT-code) | [i] | ||
| 36 | Linear OOA(2199, 71, F2, 3, 117) (dual of [(71, 3), 14, 118]-NRT-code) | [i] | ||
| 37 | Linear OOA(2198, 71, F2, 3, 116) (dual of [(71, 3), 15, 117]-NRT-code) | [i] | ||
| 38 | Linear OOA(2197, 71, F2, 3, 115) (dual of [(71, 3), 16, 116]-NRT-code) | [i] | ||
| 39 | Linear OOA(2196, 70, F2, 3, 114) (dual of [(70, 3), 14, 115]-NRT-code) | [i] | ||
| 40 | Linear OOA(2195, 70, F2, 3, 113) (dual of [(70, 3), 15, 114]-NRT-code) | [i] | ||
| 41 | Linear OOA(2193, 69, F2, 3, 111) (dual of [(69, 3), 14, 112]-NRT-code) | [i] | ||
| 42 | Linear OOA(2224, 40, F2, 6, 142) (dual of [(40, 6), 16, 143]-NRT-code) | [i] | OOA Folding | |