Information on Result #625108
Linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) with known gap numbers based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [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 OA(16123, 128, F16, 109) (dual of [128, 5, 110]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16122, 126, F16, 109) (dual of [126, 4, 110]-code) | [i] | ||
| 3 | Linear OA(1664, 69, F16, 55) (dual of [69, 5, 56]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(1665, 70, F16, 56) (dual of [70, 5, 57]-code) | [i] | ||
| 5 | Linear OA(1666, 71, F16, 57) (dual of [71, 5, 58]-code) | [i] | ||
| 6 | Linear OA(1667, 72, F16, 58) (dual of [72, 5, 59]-code) | [i] | ||
| 7 | Linear OA(1668, 73, F16, 59) (dual of [73, 5, 60]-code) | [i] | ||
| 8 | Linear OA(1669, 74, F16, 60) (dual of [74, 5, 61]-code) | [i] | ||
| 9 | Linear OA(1670, 75, F16, 61) (dual of [75, 5, 62]-code) | [i] | ||
| 10 | Linear OA(1671, 76, F16, 62) (dual of [76, 5, 63]-code) | [i] | ||
| 11 | Linear OA(1672, 77, F16, 63) (dual of [77, 5, 64]-code) | [i] | ||
| 12 | Linear OA(1673, 78, F16, 64) (dual of [78, 5, 65]-code) | [i] | ||
| 13 | Linear OA(1674, 79, F16, 65) (dual of [79, 5, 66]-code) | [i] | ||
| 14 | Linear OA(1675, 80, F16, 66) (dual of [80, 5, 67]-code) | [i] | ||
| 15 | Linear OA(1676, 81, F16, 67) (dual of [81, 5, 68]-code) | [i] | ||
| 16 | Linear OA(1678, 83, F16, 68) (dual of [83, 5, 69]-code) | [i] | ||
| 17 | Linear OA(1679, 84, F16, 69) (dual of [84, 5, 70]-code) | [i] | ||
| 18 | Linear OA(1680, 85, F16, 70) (dual of [85, 5, 71]-code) | [i] | ||
| 19 | Linear OA(1681, 86, F16, 71) (dual of [86, 5, 72]-code) | [i] | ||
| 20 | Linear OA(1682, 87, F16, 72) (dual of [87, 5, 73]-code) | [i] | ||
| 21 | Linear OA(1683, 88, F16, 73) (dual of [88, 5, 74]-code) | [i] | ||
| 22 | Linear OA(1685, 90, F16, 74) (dual of [90, 5, 75]-code) | [i] | ||
| 23 | Linear OA(1686, 91, F16, 75) (dual of [91, 5, 76]-code) | [i] | ||
| 24 | Linear OA(1687, 92, F16, 76) (dual of [92, 5, 77]-code) | [i] | ||
| 25 | Linear OA(1688, 93, F16, 77) (dual of [93, 5, 78]-code) | [i] | ||
| 26 | Linear OA(1689, 94, F16, 78) (dual of [94, 5, 79]-code) | [i] | ||
| 27 | Linear OA(1690, 95, F16, 79) (dual of [95, 5, 80]-code) | [i] | ||
| 28 | Linear OA(1691, 96, F16, 80) (dual of [96, 5, 81]-code) | [i] | ||
| 29 | Linear OA(1692, 97, F16, 81) (dual of [97, 5, 82]-code) | [i] | ||
| 30 | Linear OA(1694, 99, F16, 82) (dual of [99, 5, 83]-code) | [i] | ||
| 31 | Linear OA(1695, 100, F16, 83) (dual of [100, 5, 84]-code) | [i] | ||
| 32 | Linear OA(1696, 101, F16, 84) (dual of [101, 5, 85]-code) | [i] | ||
| 33 | Linear OA(1697, 102, F16, 85) (dual of [102, 5, 86]-code) | [i] | ||
| 34 | Linear OA(1699, 104, F16, 86) (dual of [104, 5, 87]-code) | [i] | ||
| 35 | Linear OA(16100, 105, F16, 87) (dual of [105, 5, 88]-code) | [i] | ||
| 36 | Linear OA(16101, 106, F16, 88) (dual of [106, 5, 89]-code) | [i] | ||
| 37 | Linear OA(16102, 107, F16, 89) (dual of [107, 5, 90]-code) | [i] | ||
| 38 | Linear OA(16103, 108, F16, 90) (dual of [108, 5, 91]-code) | [i] | ||
| 39 | Linear OA(16104, 109, F16, 91) (dual of [109, 5, 92]-code) | [i] | ||
| 40 | Linear OA(16128, 133, F16, 113) (dual of [133, 5, 114]-code) | [i] | ||
| 41 | Linear OA(16130, 135, F16, 114) (dual of [135, 5, 115]-code) | [i] | ||
| 42 | Linear OA(1660, 65, F16, 55) (dual of [65, 5, 56]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 43 | Linear OA(1659, 65, F16, 54) (dual of [65, 6, 55]-code) | [i] | ✔ | |
| 44 | Linear OA(1664, 69, F16, 58) (dual of [69, 5, 59]-code) | [i] | ✔ | |
| 45 | Linear OA(1661, 68, F16, 54) (dual of [68, 7, 55]-code) | [i] | ✔ | |
| 46 | Linear OA(1666, 71, F16, 59) (dual of [71, 5, 60]-code) | [i] | ✔ | |
| 47 | Linear OA(1662, 70, F16, 54) (dual of [70, 8, 55]-code) | [i] | ✔ | |
| 48 | Linear OA(1671, 76, F16, 63) (dual of [76, 5, 64]-code) | [i] | ✔ | |
| 49 | Linear OA(1663, 72, F16, 54) (dual of [72, 9, 55]-code) | [i] | ✔ | |
| 50 | Linear OA(1664, 74, F16, 54) (dual of [74, 10, 55]-code) | [i] | ✔ | |
| 51 | Linear OA(1665, 76, F16, 54) (dual of [76, 11, 55]-code) | [i] | ✔ | |
| 52 | Linear OA(1666, 78, F16, 54) (dual of [78, 12, 55]-code) | [i] | ✔ | |
| 53 | Linear OA(1667, 80, F16, 54) (dual of [80, 13, 55]-code) | [i] | ✔ | |
| 54 | Linear OA(1669, 83, F16, 54) (dual of [83, 14, 55]-code) | [i] | ✔ | |
| 55 | Linear OA(1670, 85, F16, 54) (dual of [85, 15, 55]-code) | [i] | ✔ | |
| 56 | Linear OA(1671, 87, F16, 54) (dual of [87, 16, 55]-code) | [i] | ✔ | |
| 57 | Linear OA(1673, 90, F16, 54) (dual of [90, 17, 55]-code) | [i] | ✔ | |
| 58 | Linear OA(1674, 92, F16, 54) (dual of [92, 18, 55]-code) | [i] | ✔ | |
| 59 | Linear OA(1675, 94, F16, 54) (dual of [94, 19, 55]-code) | [i] | ✔ | |
| 60 | Linear OA(1676, 96, F16, 54) (dual of [96, 20, 55]-code) | [i] | ✔ | |
| 61 | Linear OA(1678, 99, F16, 54) (dual of [99, 21, 55]-code) | [i] | ✔ | |
| 62 | Linear OA(1679, 101, F16, 54) (dual of [101, 22, 55]-code) | [i] | ✔ | |
| 63 | Linear OA(1681, 104, F16, 54) (dual of [104, 23, 55]-code) | [i] | ✔ | |
| 64 | Linear OA(1682, 106, F16, 54) (dual of [106, 24, 55]-code) | [i] | ✔ | |
| 65 | Linear OA(1683, 108, F16, 54) (dual of [108, 25, 55]-code) | [i] | ✔ | |
| 66 | Linear OA(1685, 111, F16, 54) (dual of [111, 26, 55]-code) | [i] | ✔ | |
| 67 | Linear OA(1686, 113, F16, 54) (dual of [113, 27, 55]-code) | [i] | ✔ | |
| 68 | Linear OA(1688, 116, F16, 54) (dual of [116, 28, 55]-code) | [i] | ✔ | |
| 69 | Linear OA(1689, 118, F16, 54) (dual of [118, 29, 55]-code) | [i] | ✔ | |
| 70 | Linear OA(1690, 120, F16, 54) (dual of [120, 30, 55]-code) | [i] | ✔ | |
| 71 | Linear OA(1691, 122, F16, 54) (dual of [122, 31, 55]-code) | [i] | ✔ | |
| 72 | Linear OA(1668, 82, F16, 54) (dual of [82, 14, 55]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 73 | Linear OA(1672, 89, F16, 54) (dual of [89, 17, 55]-code) | [i] | ✔ | |
| 74 | Linear OOA(1659, 32, F16, 2, 54) (dual of [(32, 2), 5, 55]-NRT-code) | [i] | OOA Folding | |