Information on Result #1121626
Linear OOA(271, 23, F2, 5, 43) (dual of [(23, 5), 44, 44]-NRT-code), using construction X applied to AG(5;F,56P) ⊂ AG(5;F,64P) based on
- linear OOA(264, 20, F2, 5, 43) (dual of [(20, 5), 36, 44]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(256, 20, F2, 5, 35) (dual of [(20, 5), 44, 36]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
- linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;8,2) [i]
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(2260, 64, F2, 5, 135) (dual of [(64, 5), 60, 136]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
| 2 | Linear OOA(2259, 64, F2, 5, 134) (dual of [(64, 5), 61, 135]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 64, F2, 5, 133) (dual of [(64, 5), 62, 134]-NRT-code) | [i] | ||
| 4 | Linear OOA(2257, 64, F2, 5, 132) (dual of [(64, 5), 63, 133]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 64, F2, 5, 131) (dual of [(64, 5), 64, 132]-NRT-code) | [i] | ||
| 6 | Linear OOA(2255, 64, F2, 5, 130) (dual of [(64, 5), 65, 131]-NRT-code) | [i] | ||
| 7 | Linear OOA(2254, 64, F2, 5, 129) (dual of [(64, 5), 66, 130]-NRT-code) | [i] | ||
| 8 | Linear OOA(2253, 64, F2, 5, 128) (dual of [(64, 5), 67, 129]-NRT-code) | [i] | ||
| 9 | Linear OOA(2252, 64, F2, 5, 127) (dual of [(64, 5), 68, 128]-NRT-code) | [i] | ||
| 10 | Linear OOA(2251, 64, F2, 5, 126) (dual of [(64, 5), 69, 127]-NRT-code) | [i] | ||
| 11 | Linear OOA(2250, 64, F2, 5, 125) (dual of [(64, 5), 70, 126]-NRT-code) | [i] | ||
| 12 | Linear OOA(2249, 64, F2, 5, 124) (dual of [(64, 5), 71, 125]-NRT-code) | [i] | ||
| 13 | Linear OOA(2248, 64, F2, 5, 123) (dual of [(64, 5), 72, 124]-NRT-code) | [i] | ||
| 14 | Linear OOA(2247, 64, F2, 5, 122) (dual of [(64, 5), 73, 123]-NRT-code) | [i] | ||
| 15 | Linear OOA(2246, 64, F2, 5, 121) (dual of [(64, 5), 74, 122]-NRT-code) | [i] | ||
| 16 | Linear OOA(2245, 64, F2, 5, 120) (dual of [(64, 5), 75, 121]-NRT-code) | [i] | ||
| 17 | Linear OOA(2244, 64, F2, 5, 119) (dual of [(64, 5), 76, 120]-NRT-code) | [i] | ||
| 18 | Linear OOA(2243, 64, F2, 5, 118) (dual of [(64, 5), 77, 119]-NRT-code) | [i] | ||
| 19 | Linear OOA(2242, 64, F2, 5, 117) (dual of [(64, 5), 78, 118]-NRT-code) | [i] | ||
| 20 | Linear OOA(2241, 64, F2, 5, 116) (dual of [(64, 5), 79, 117]-NRT-code) | [i] | ||
| 21 | Linear OOA(2240, 64, F2, 5, 115) (dual of [(64, 5), 80, 116]-NRT-code) | [i] | ||
| 22 | Linear OOA(2239, 64, F2, 5, 114) (dual of [(64, 5), 81, 115]-NRT-code) | [i] | ||
| 23 | Linear OOA(2238, 64, F2, 5, 113) (dual of [(64, 5), 82, 114]-NRT-code) | [i] | ||
| 24 | Linear OOA(2237, 64, F2, 5, 112) (dual of [(64, 5), 83, 113]-NRT-code) | [i] | ||
| 25 | Linear OOA(2236, 64, F2, 5, 111) (dual of [(64, 5), 84, 112]-NRT-code) | [i] | ||
| 26 | Linear OOA(2235, 64, F2, 5, 110) (dual of [(64, 5), 85, 111]-NRT-code) | [i] | ||
| 27 | Linear OOA(2234, 64, F2, 5, 109) (dual of [(64, 5), 86, 110]-NRT-code) | [i] | ||
| 28 | Linear OOA(2233, 64, F2, 5, 108) (dual of [(64, 5), 87, 109]-NRT-code) | [i] | ||
| 29 | Linear OOA(2232, 64, F2, 5, 107) (dual of [(64, 5), 88, 108]-NRT-code) | [i] | ||
| 30 | Linear OOA(2231, 64, F2, 5, 106) (dual of [(64, 5), 89, 107]-NRT-code) | [i] | ||
| 31 | Linear OOA(2230, 64, F2, 5, 105) (dual of [(64, 5), 90, 106]-NRT-code) | [i] | ||
| 32 | Linear OOA(2229, 64, F2, 5, 104) (dual of [(64, 5), 91, 105]-NRT-code) | [i] | ||
| 33 | Linear OOA(2228, 64, F2, 5, 103) (dual of [(64, 5), 92, 104]-NRT-code) | [i] | ||
| 34 | Linear OOA(2227, 64, F2, 5, 102) (dual of [(64, 5), 93, 103]-NRT-code) | [i] | ||
| 35 | Linear OOA(2226, 64, F2, 5, 101) (dual of [(64, 5), 94, 102]-NRT-code) | [i] | ||
| 36 | Linear OOA(2225, 64, F2, 5, 100) (dual of [(64, 5), 95, 101]-NRT-code) | [i] | ||
| 37 | Linear OOA(2224, 64, F2, 5, 99) (dual of [(64, 5), 96, 100]-NRT-code) | [i] | ||
| 38 | Linear OOA(2223, 64, F2, 5, 98) (dual of [(64, 5), 97, 99]-NRT-code) | [i] | ||
| 39 | Linear OOA(2222, 64, F2, 5, 97) (dual of [(64, 5), 98, 98]-NRT-code) | [i] | ||
| 40 | Linear OOA(2221, 64, F2, 5, 96) (dual of [(64, 5), 99, 97]-NRT-code) | [i] | ||
| 41 | Linear OOA(2260, 70, F2, 5, 120) (dual of [(70, 5), 90, 121]-NRT-code) | [i] | ||
| 42 | Linear OOA(2259, 70, F2, 5, 119) (dual of [(70, 5), 91, 120]-NRT-code) | [i] | ||
| 43 | Linear OOA(2258, 70, F2, 5, 118) (dual of [(70, 5), 92, 119]-NRT-code) | [i] | ||
| 44 | Linear OOA(2257, 70, F2, 5, 117) (dual of [(70, 5), 93, 118]-NRT-code) | [i] | ||
| 45 | Linear OOA(2256, 70, F2, 5, 116) (dual of [(70, 5), 94, 117]-NRT-code) | [i] | ||
| 46 | Linear OOA(2255, 70, F2, 5, 115) (dual of [(70, 5), 95, 116]-NRT-code) | [i] | ||
| 47 | Linear OOA(2254, 70, F2, 5, 114) (dual of [(70, 5), 96, 115]-NRT-code) | [i] | ||
| 48 | Linear OOA(2253, 70, F2, 5, 113) (dual of [(70, 5), 97, 114]-NRT-code) | [i] | ||
| 49 | Linear OOA(2252, 70, F2, 5, 112) (dual of [(70, 5), 98, 113]-NRT-code) | [i] | ||
| 50 | Linear OOA(2251, 70, F2, 5, 111) (dual of [(70, 5), 99, 112]-NRT-code) | [i] | ||
| 51 | Linear OOA(2250, 70, F2, 5, 110) (dual of [(70, 5), 100, 111]-NRT-code) | [i] | ||
| 52 | Linear OOA(2249, 70, F2, 5, 109) (dual of [(70, 5), 101, 110]-NRT-code) | [i] | ||
| 53 | Linear OOA(2248, 70, F2, 5, 108) (dual of [(70, 5), 102, 109]-NRT-code) | [i] | ||
| 54 | Linear OOA(2247, 70, F2, 5, 107) (dual of [(70, 5), 103, 108]-NRT-code) | [i] | ||
| 55 | Linear OOA(2246, 70, F2, 5, 106) (dual of [(70, 5), 104, 107]-NRT-code) | [i] | ||
| 56 | Linear OOA(2245, 70, F2, 5, 105) (dual of [(70, 5), 105, 106]-NRT-code) | [i] | ||
| 57 | Linear OOA(2244, 70, F2, 5, 104) (dual of [(70, 5), 106, 105]-NRT-code) | [i] | ||
| 58 | Linear OOA(2243, 70, F2, 5, 103) (dual of [(70, 5), 107, 104]-NRT-code) | [i] | ||
| 59 | Linear OOA(2242, 70, F2, 5, 102) (dual of [(70, 5), 108, 103]-NRT-code) | [i] | ||
| 60 | Linear OOA(2241, 70, F2, 5, 101) (dual of [(70, 5), 109, 102]-NRT-code) | [i] | ||
| 61 | Linear OOA(2240, 70, F2, 5, 100) (dual of [(70, 5), 110, 101]-NRT-code) | [i] | ||
| 62 | Linear OOA(2259, 71, F2, 5, 119) (dual of [(71, 5), 96, 120]-NRT-code) | [i] | ||
| 63 | Linear OOA(2257, 71, F2, 5, 117) (dual of [(71, 5), 98, 118]-NRT-code) | [i] | ||
| 64 | Linear OOA(2255, 71, F2, 5, 115) (dual of [(71, 5), 100, 116]-NRT-code) | [i] | ||
| 65 | Linear OOA(2253, 71, F2, 5, 113) (dual of [(71, 5), 102, 114]-NRT-code) | [i] | ||
| 66 | Linear OOA(2251, 71, F2, 5, 111) (dual of [(71, 5), 104, 112]-NRT-code) | [i] | ||
| 67 | Linear OOA(2249, 71, F2, 5, 109) (dual of [(71, 5), 106, 110]-NRT-code) | [i] | ||
| 68 | Linear OOA(2247, 71, F2, 5, 107) (dual of [(71, 5), 108, 108]-NRT-code) | [i] | ||
| 69 | Linear OOA(2245, 71, F2, 5, 105) (dual of [(71, 5), 110, 106]-NRT-code) | [i] | ||
| 70 | Linear OOA(2243, 71, F2, 5, 103) (dual of [(71, 5), 112, 104]-NRT-code) | [i] | ||
| 71 | Linear OOA(2241, 71, F2, 5, 101) (dual of [(71, 5), 114, 102]-NRT-code) | [i] | ||
| 72 | Linear OOA(2239, 71, F2, 5, 99) (dual of [(71, 5), 116, 100]-NRT-code) | [i] | ||
| 73 | Linear OOA(2237, 71, F2, 5, 97) (dual of [(71, 5), 118, 98]-NRT-code) | [i] | ||