Information on Result #943767
Linear OOA(27, 3, F2, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using extended Reed–Solomon NRT-code RSe(3;2,2)
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(216, 6, F2, 3, 15) (dual of [(6, 3), 2, 16]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(225, 9, F2, 3, 23) (dual of [(9, 3), 2, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(234, 12, F2, 3, 31) (dual of [(12, 3), 2, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(243, 15, F2, 3, 39) (dual of [(15, 3), 2, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(252, 18, F2, 3, 47) (dual of [(18, 3), 2, 48]-NRT-code) | [i] | ||
| 6 | Linear OOA(261, 21, F2, 3, 55) (dual of [(21, 3), 2, 56]-NRT-code) | [i] | ||
| 7 | Linear OOA(270, 24, F2, 3, 63) (dual of [(24, 3), 2, 64]-NRT-code) | [i] | ||
| 8 | Linear OOA(279, 27, F2, 3, 71) (dual of [(27, 3), 2, 72]-NRT-code) | [i] | ||
| 9 | Linear OOA(288, 30, F2, 3, 79) (dual of [(30, 3), 2, 80]-NRT-code) | [i] | ||
| 10 | Linear OOA(297, 33, F2, 3, 87) (dual of [(33, 3), 2, 88]-NRT-code) | [i] | ||
| 11 | Linear OOA(2106, 36, F2, 3, 95) (dual of [(36, 3), 2, 96]-NRT-code) | [i] | ||
| 12 | Linear OOA(2115, 39, F2, 3, 103) (dual of [(39, 3), 2, 104]-NRT-code) | [i] | ||
| 13 | Linear OOA(2124, 42, F2, 3, 111) (dual of [(42, 3), 2, 112]-NRT-code) | [i] | ||
| 14 | Linear OOA(2133, 45, F2, 3, 119) (dual of [(45, 3), 2, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(2142, 48, F2, 3, 127) (dual of [(48, 3), 2, 128]-NRT-code) | [i] | ||
| 16 | Linear OOA(2151, 51, F2, 3, 135) (dual of [(51, 3), 2, 136]-NRT-code) | [i] | ||
| 17 | Linear OOA(2160, 54, F2, 3, 143) (dual of [(54, 3), 2, 144]-NRT-code) | [i] | ||
| 18 | Linear OOA(2169, 57, F2, 3, 151) (dual of [(57, 3), 2, 152]-NRT-code) | [i] | ||
| 19 | Linear OOA(2178, 60, F2, 3, 159) (dual of [(60, 3), 2, 160]-NRT-code) | [i] | ||
| 20 | Linear OOA(2187, 63, F2, 3, 167) (dual of [(63, 3), 2, 168]-NRT-code) | [i] | ||
| 21 | Linear OOA(2196, 66, F2, 3, 175) (dual of [(66, 3), 2, 176]-NRT-code) | [i] | ||
| 22 | Linear OOA(2205, 69, F2, 3, 183) (dual of [(69, 3), 2, 184]-NRT-code) | [i] | ||
| 23 | Linear OOA(2214, 72, F2, 3, 191) (dual of [(72, 3), 2, 192]-NRT-code) | [i] | ||
| 24 | Linear OOA(2223, 75, F2, 3, 199) (dual of [(75, 3), 2, 200]-NRT-code) | [i] | ||
| 25 | Linear OOA(2232, 78, F2, 3, 207) (dual of [(78, 3), 2, 208]-NRT-code) | [i] | ||
| 26 | Linear OOA(2241, 81, F2, 3, 215) (dual of [(81, 3), 2, 216]-NRT-code) | [i] | ||
| 27 | Linear OOA(2250, 84, F2, 3, 223) (dual of [(84, 3), 2, 224]-NRT-code) | [i] | ||
| 28 | Linear OOA(2259, 87, F2, 3, 231) (dual of [(87, 3), 2, 232]-NRT-code) | [i] | ||
| 29 | Linear OOA(2168, 2796204, F2, 3, 14) (dual of [(2796204, 3), 8388444, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 30 | Linear OOA(2169, 2796204, F2, 3, 15) (dual of [(2796204, 3), 8388443, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2127, 45, F2, 3, 79) (dual of [(45, 3), 8, 80]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 32 | Linear OOA(2136, 48, F2, 3, 87) (dual of [(48, 3), 8, 88]-NRT-code) | [i] | ||
| 33 | Linear OOA(2129, 45, F2, 3, 87) (dual of [(45, 3), 6, 88]-NRT-code) | [i] | ||
| 34 | Linear OOA(2145, 51, F2, 3, 95) (dual of [(51, 3), 8, 96]-NRT-code) | [i] | ||
| 35 | Linear OOA(2138, 48, F2, 3, 95) (dual of [(48, 3), 6, 96]-NRT-code) | [i] | ||
| 36 | Linear OOA(2196, 72, F2, 3, 87) (dual of [(72, 3), 20, 88]-NRT-code) | [i] | ||
| 37 | Linear OOA(2156, 54, F2, 3, 103) (dual of [(54, 3), 6, 104]-NRT-code) | [i] | ||
| 38 | Linear OOA(2219, 81, F2, 3, 95) (dual of [(81, 3), 24, 96]-NRT-code) | [i] | ||
| 39 | Linear OOA(2212, 78, F2, 3, 95) (dual of [(78, 3), 22, 96]-NRT-code) | [i] | ||
| 40 | Linear OOA(2205, 75, F2, 3, 95) (dual of [(75, 3), 20, 96]-NRT-code) | [i] | ||
| 41 | Linear OOA(2198, 72, F2, 3, 95) (dual of [(72, 3), 18, 96]-NRT-code) | [i] | ||
| 42 | Linear OOA(2191, 69, F2, 3, 95) (dual of [(69, 3), 16, 96]-NRT-code) | [i] | ||
| 43 | Linear OOA(2165, 57, F2, 3, 111) (dual of [(57, 3), 6, 112]-NRT-code) | [i] | ||
| 44 | Linear OOA(2174, 60, F2, 3, 119) (dual of [(60, 3), 6, 120]-NRT-code) | [i] | ||
| 45 | Linear OOA(2181, 63, F2, 3, 111) (dual of [(63, 3), 8, 112]-NRT-code) | [i] | ||
| 46 | Linear OOA(2183, 63, F2, 3, 127) (dual of [(63, 3), 6, 128]-NRT-code) | [i] | ||
| 47 | Linear OOA(2190, 66, F2, 3, 119) (dual of [(66, 3), 8, 120]-NRT-code) | [i] | ||
| 48 | Linear OOA(2204, 72, F2, 3, 111) (dual of [(72, 3), 12, 112]-NRT-code) | [i] | ||
| 49 | Linear OOA(2199, 69, F2, 3, 127) (dual of [(69, 3), 8, 128]-NRT-code) | [i] | ||
| 50 | Linear OOA(2213, 75, F2, 3, 119) (dual of [(75, 3), 12, 120]-NRT-code) | [i] | ||
| 51 | Linear OOA(2222, 78, F2, 3, 127) (dual of [(78, 3), 12, 128]-NRT-code) | [i] | ||
| 52 | Linear OOA(2215, 75, F2, 3, 127) (dual of [(75, 3), 10, 128]-NRT-code) | [i] | ||
| 53 | Linear OOA(2217, 75, F2, 3, 135) (dual of [(75, 3), 8, 136]-NRT-code) | [i] | ||
| 54 | Linear OOA(2238, 84, F2, 3, 127) (dual of [(84, 3), 14, 128]-NRT-code) | [i] | ||
| 55 | Linear OOA(2226, 78, F2, 3, 143) (dual of [(78, 3), 8, 144]-NRT-code) | [i] | ||
| 56 | Linear OOA(2219, 75, F2, 3, 143) (dual of [(75, 3), 6, 144]-NRT-code) | [i] | ||
| 57 | Linear OOA(2235, 81, F2, 3, 151) (dual of [(81, 3), 8, 152]-NRT-code) | [i] | ||
| 58 | Linear OOA(2228, 78, F2, 3, 151) (dual of [(78, 3), 6, 152]-NRT-code) | [i] | ||
| 59 | Linear OOA(2244, 84, F2, 3, 159) (dual of [(84, 3), 8, 160]-NRT-code) | [i] | ||
| 60 | Linear OOA(2237, 81, F2, 3, 159) (dual of [(81, 3), 6, 160]-NRT-code) | [i] | ||
| 61 | Linear OOA(2251, 87, F2, 3, 151) (dual of [(87, 3), 10, 152]-NRT-code) | [i] | ||
| 62 | Linear OOA(2260, 90, F2, 3, 159) (dual of [(90, 3), 10, 160]-NRT-code) | [i] | ||
| 63 | Linear OOA(2255, 87, F2, 3, 167) (dual of [(87, 3), 6, 168]-NRT-code) | [i] | ||