Information on Result #622422
Linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), using extended algebraic-geometric code AGe(F,23P) based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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 OA(450, 90, F4, 21) (dual of [90, 40, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(1690, 110, F16, 61) (dual of [110, 20, 62]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(1690, 109, F16, 62) (dual of [109, 19, 63]-code) | [i] | ||
| 4 | Linear OA(1690, 108, F16, 63) (dual of [108, 18, 64]-code) | [i] | ||
| 5 | Linear OA(1690, 107, F16, 64) (dual of [107, 17, 65]-code) | [i] | ||
| 6 | Linear OA(1690, 106, F16, 65) (dual of [106, 16, 66]-code) | [i] | ||
| 7 | Linear OA(1690, 105, F16, 66) (dual of [105, 15, 67]-code) | [i] | ||
| 8 | Linear OA(2140, 200, F2, 43) (dual of [200, 60, 44]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(495, 135, F4, 43) (dual of [135, 40, 44]-code) | [i] | ||
| 10 | Linear OA(494, 132, F4, 43) (dual of [132, 38, 44]-code) | [i] | ||
| 11 | Linear OA(493, 129, F4, 43) (dual of [129, 36, 44]-code) | [i] | ||
| 12 | Linear OA(492, 126, F4, 43) (dual of [126, 34, 44]-code) | [i] | ||
| 13 | Linear OA(491, 123, F4, 43) (dual of [123, 32, 44]-code) | [i] | ||
| 14 | Linear OA(490, 120, F4, 43) (dual of [120, 30, 44]-code) | [i] | ||
| 15 | Linear OOA(2190, 135, F2, 2, 65) (dual of [(135, 2), 80, 66]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 16 | Linear OOA(2188, 132, F2, 2, 65) (dual of [(132, 2), 76, 66]-NRT-code) | [i] | ||
| 17 | Linear OOA(2186, 129, F2, 2, 65) (dual of [(129, 2), 72, 66]-NRT-code) | [i] | ||
| 18 | Linear OOA(2184, 126, F2, 2, 65) (dual of [(126, 2), 68, 66]-NRT-code) | [i] | ||
| 19 | Linear OOA(2182, 123, F2, 2, 65) (dual of [(123, 2), 64, 66]-NRT-code) | [i] | ||
| 20 | Linear OOA(2180, 120, F2, 2, 65) (dual of [(120, 2), 60, 66]-NRT-code) | [i] | ||
| 21 | Linear OOA(2190, 90, F2, 3, 65) (dual of [(90, 3), 80, 66]-NRT-code) | [i] | ||
| 22 | Linear OOA(2188, 88, F2, 3, 65) (dual of [(88, 3), 76, 66]-NRT-code) | [i] | ||
| 23 | Linear OOA(2186, 86, F2, 3, 65) (dual of [(86, 3), 72, 66]-NRT-code) | [i] | ||
| 24 | Linear OOA(2184, 84, F2, 3, 65) (dual of [(84, 3), 68, 66]-NRT-code) | [i] | ||
| 25 | Linear OOA(2182, 82, F2, 3, 65) (dual of [(82, 3), 64, 66]-NRT-code) | [i] | ||
| 26 | Linear OOA(2180, 80, F2, 3, 65) (dual of [(80, 3), 60, 66]-NRT-code) | [i] | ||
| 27 | Linear OOA(2260, 80, F2, 4, 109) (dual of [(80, 4), 60, 110]-NRT-code) | [i] | ||
| 28 | Linear OA(1688, 105, F16, 63) (dual of [105, 17, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 29 | Linear OA(1688, 109, F16, 59) (dual of [109, 21, 60]-code) | [i] | ||
| 30 | Linear OA(1687, 108, F16, 59) (dual of [108, 21, 60]-code) | [i] | ||
| 31 | Linear OA(1686, 108, F16, 58) (dual of [108, 22, 59]-code) | [i] | ||
| 32 | Linear OA(1686, 109, F16, 57) (dual of [109, 23, 58]-code) | [i] | ||
| 33 | Linear OOA(1625, 22, F16, 2, 21) (dual of [(22, 2), 19, 22]-NRT-code) | [i] | OOA Folding | |