Information on Result #2617301
Linear OOA(2220, 80, F2, 3, 130) (dual of [(80, 3), 20, 131]-NRT-code), using strength reduction based on linear OOA(2220, 80, F2, 3, 131) (dual of [(80, 3), 20, 132]-NRT-code), using
- concatenation of two NRT-codes [i] 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]
- 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
- linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), 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(2221, 80, F2, 3, 130) (dual of [(80, 3), 19, 131]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2222, 80, F2, 3, 130) (dual of [(80, 3), 18, 131]-NRT-code) | [i] | ||
| 3 | Linear OOA(2219, 79, F2, 3, 129) (dual of [(79, 3), 18, 130]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2218, 79, F2, 3, 128) (dual of [(79, 3), 19, 129]-NRT-code) | [i] | ||
| 5 | Linear OOA(2217, 79, F2, 3, 127) (dual of [(79, 3), 20, 128]-NRT-code) | [i] | ||
| 6 | Linear OOA(2216, 78, F2, 3, 126) (dual of [(78, 3), 18, 127]-NRT-code) | [i] | ||
| 7 | Linear OOA(2215, 78, F2, 3, 125) (dual of [(78, 3), 19, 126]-NRT-code) | [i] | ||
| 8 | Linear OOA(2214, 78, F2, 3, 124) (dual of [(78, 3), 20, 125]-NRT-code) | [i] | ||
| 9 | Linear OOA(2213, 77, F2, 3, 123) (dual of [(77, 3), 18, 124]-NRT-code) | [i] | ||
| 10 | Linear OOA(2212, 77, F2, 3, 122) (dual of [(77, 3), 19, 123]-NRT-code) | [i] | ||
| 11 | Linear OOA(2211, 77, F2, 3, 121) (dual of [(77, 3), 20, 122]-NRT-code) | [i] | ||
| 12 | Linear OOA(2210, 76, F2, 3, 120) (dual of [(76, 3), 18, 121]-NRT-code) | [i] | ||
| 13 | Linear OOA(2209, 76, F2, 3, 119) (dual of [(76, 3), 19, 120]-NRT-code) | [i] | ||
| 14 | Linear OOA(2208, 76, F2, 3, 118) (dual of [(76, 3), 20, 119]-NRT-code) | [i] | ||
| 15 | Linear OOA(2207, 75, F2, 3, 117) (dual of [(75, 3), 18, 118]-NRT-code) | [i] | ||
| 16 | Linear OOA(2206, 75, F2, 3, 116) (dual of [(75, 3), 19, 117]-NRT-code) | [i] | ||
| 17 | Linear OOA(2204, 74, F2, 3, 114) (dual of [(74, 3), 18, 115]-NRT-code) | [i] | ||
| 18 | Linear OOA(2203, 74, F2, 3, 113) (dual of [(74, 3), 19, 114]-NRT-code) | [i] | ||
| 19 | Linear OOA(2202, 74, F2, 3, 112) (dual of [(74, 3), 20, 113]-NRT-code) | [i] | ||
| 20 | Linear OOA(2201, 73, F2, 3, 111) (dual of [(73, 3), 18, 112]-NRT-code) | [i] | ||
| 21 | Linear OOA(2200, 73, F2, 3, 110) (dual of [(73, 3), 19, 111]-NRT-code) | [i] | ||
| 22 | Linear OOA(2199, 73, F2, 3, 109) (dual of [(73, 3), 20, 110]-NRT-code) | [i] | ||
| 23 | Linear OOA(2220, 40, F2, 6, 130) (dual of [(40, 6), 20, 131]-NRT-code) | [i] | OOA Folding | |