Information on Result #606822
Linear OA(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using extended Reed–Solomon code RSe(9,16)
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(1654, 4113, F16, 17) (dual of [4113, 4059, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1674, 131091, F16, 17) (dual of [131091, 131017, 18]-code) | [i] | ||
| 3 | Linear OA(1684, 1048593, F16, 17) (dual of [1048593, 1048509, 18]-code) | [i] | ||
| 4 | Linear OA(1670, 131089, F16, 16) (dual of [131089, 131019, 17]-code) | [i] | ||
| 5 | Linear OA(1693, 119, F16, 59) (dual of [119, 26, 60]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(2100, 136, F2, 35) (dual of [136, 36, 36]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OOA(266, 51, F2, 2, 26) (dual of [(51, 2), 36, 27]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(2117, 51, F2, 3, 53) (dual of [(51, 3), 36, 54]-NRT-code) | [i] | ||
| 9 | Linear OA(1671, 81, F16, 57) (dual of [81, 10, 58]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 10 | Linear OA(1670, 81, F16, 56) (dual of [81, 11, 57]-code) | [i] | ||
| 11 | Linear OA(1669, 81, F16, 55) (dual of [81, 12, 56]-code) | [i] | ||
| 12 | Linear OA(1668, 81, F16, 54) (dual of [81, 13, 55]-code) | [i] | ||
| 13 | Linear OA(1667, 81, F16, 53) (dual of [81, 14, 54]-code) | [i] | ||
| 14 | Linear OA(1666, 81, F16, 52) (dual of [81, 15, 53]-code) | [i] | ||
| 15 | Linear OA(1665, 81, F16, 51) (dual of [81, 16, 52]-code) | [i] | ||
| 16 | Linear OA(1664, 81, F16, 50) (dual of [81, 17, 51]-code) | [i] | ||
| 17 | Linear OA(1663, 81, F16, 49) (dual of [81, 18, 50]-code) | [i] | ||
| 18 | Linear OA(1662, 81, F16, 48) (dual of [81, 19, 49]-code) | [i] | ||
| 19 | Linear OA(1661, 81, F16, 47) (dual of [81, 20, 48]-code) | [i] | ||
| 20 | Linear OA(1660, 81, F16, 46) (dual of [81, 21, 47]-code) | [i] | ||
| 21 | Linear OA(1659, 81, F16, 45) (dual of [81, 22, 46]-code) | [i] | ||
| 22 | Linear OA(1658, 81, F16, 44) (dual of [81, 23, 45]-code) | [i] | ||
| 23 | Linear OA(1657, 81, F16, 43) (dual of [81, 24, 44]-code) | [i] | ||
| 24 | Linear OA(1656, 81, F16, 42) (dual of [81, 25, 43]-code) | [i] | ||
| 25 | Linear OA(1655, 81, F16, 41) (dual of [81, 26, 42]-code) | [i] | ||
| 26 | Linear OA(1654, 81, F16, 40) (dual of [81, 27, 41]-code) | [i] | ||
| 27 | Linear OA(1653, 81, F16, 39) (dual of [81, 28, 40]-code) | [i] | ||
| 28 | Linear OA(1652, 81, F16, 38) (dual of [81, 29, 39]-code) | [i] | ||
| 29 | Linear OA(1651, 81, F16, 37) (dual of [81, 30, 38]-code) | [i] | ||
| 30 | Linear OA(1650, 81, F16, 36) (dual of [81, 31, 37]-code) | [i] | ||
| 31 | Linear OA(1649, 81, F16, 35) (dual of [81, 32, 36]-code) | [i] | ||
| 32 | Linear OA(1648, 81, F16, 34) (dual of [81, 33, 35]-code) | [i] | ||
| 33 | Linear OA(1647, 81, F16, 33) (dual of [81, 34, 34]-code) | [i] | ||
| 34 | Linear OA(1646, 81, F16, 32) (dual of [81, 35, 33]-code) | [i] | ||
| 35 | Linear OA(1645, 81, F16, 31) (dual of [81, 36, 32]-code) | [i] | ||
| 36 | Linear OA(1644, 81, F16, 30) (dual of [81, 37, 31]-code) | [i] | ||
| 37 | Linear OA(1643, 81, F16, 29) (dual of [81, 38, 30]-code) | [i] | ||
| 38 | Linear OA(1642, 81, F16, 28) (dual of [81, 39, 29]-code) | [i] | ||
| 39 | Linear OA(1641, 81, F16, 27) (dual of [81, 40, 28]-code) | [i] | ||
| 40 | Linear OA(1640, 81, F16, 26) (dual of [81, 41, 27]-code) | [i] | ||
| 41 | Linear OA(1639, 81, F16, 25) (dual of [81, 42, 26]-code) | [i] | ||
| 42 | Linear OA(1638, 81, F16, 24) (dual of [81, 43, 25]-code) | [i] | ||
| 43 | Linear OA(1672, 82, F16, 58) (dual of [82, 10, 59]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 44 | Linear OA(1670, 82, F16, 56) (dual of [82, 12, 57]-code) | [i] | ||
| 45 | Linear OA(1669, 82, F16, 55) (dual of [82, 13, 56]-code) | [i] | ||
| 46 | Linear OA(1668, 82, F16, 54) (dual of [82, 14, 55]-code) | [i] | ||
| 47 | Linear OA(1667, 82, F16, 53) (dual of [82, 15, 54]-code) | [i] | ||
| 48 | Linear OA(1659, 4130, F16, 17) (dual of [4130, 4071, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 49 | Linear OA(1689, 1048610, F16, 17) (dual of [1048610, 1048521, 18]-code) | [i] | ||
| 50 | Linear OA(16121, 274, F16, 64) (dual of [274, 153, 65]-code) | [i] | Construction X with Cyclic Codes | |
| 51 | Linear OA(1682, 113, F16, 50) (dual of [113, 31, 51]-code) | [i] | Construction XX with Cyclic Codes | |
| 52 | Linear OA(16124, 276, F16, 70) (dual of [276, 152, 71]-code) | [i] | ||
| 53 | Linear OA(16123, 274, F16, 70) (dual of [274, 151, 71]-code) | [i] | ||
| 54 | Linear OA(16126, 276, F16, 71) (dual of [276, 150, 72]-code) | [i] | ||
| 55 | Linear OA(16125, 274, F16, 71) (dual of [274, 149, 72]-code) | [i] | ||
| 56 | Linear OA(16127, 279, F16, 71) (dual of [279, 152, 72]-code) | [i] | ||
| 57 | Linear OA(16126, 277, F16, 71) (dual of [277, 151, 72]-code) | [i] | ||
| 58 | Linear OA(16128, 276, F16, 72) (dual of [276, 148, 73]-code) | [i] | ||
| 59 | Linear OA(16127, 274, F16, 72) (dual of [274, 147, 73]-code) | [i] | ||
| 60 | Linear OA(16129, 279, F16, 72) (dual of [279, 150, 73]-code) | [i] | ||
| 61 | Linear OA(16128, 277, F16, 72) (dual of [277, 149, 73]-code) | [i] | ||
| 62 | Linear OA(16130, 282, F16, 72) (dual of [282, 152, 73]-code) | [i] | ||
| 63 | Linear OA(16129, 280, F16, 72) (dual of [280, 151, 73]-code) | [i] | ||
| 64 | Linear OA(16130, 276, F16, 73) (dual of [276, 146, 74]-code) | [i] | ||
| 65 | Linear OA(16129, 274, F16, 73) (dual of [274, 145, 74]-code) | [i] | ||
| 66 | Linear OA(16130, 277, F16, 73) (dual of [277, 147, 74]-code) | [i] | ||
| 67 | Linear OA(16123, 276, F16, 66) (dual of [276, 153, 67]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 68 | Linear OA(16127, 273, F16, 72) (dual of [273, 146, 73]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 69 | Linear OA(16125, 273, F16, 71) (dual of [273, 148, 72]-code) | [i] | ||
| 70 | Linear OA(16123, 273, F16, 70) (dual of [273, 150, 71]-code) | [i] | ||
| 71 | Linear OA(16121, 273, F16, 69) (dual of [273, 152, 70]-code) | [i] | ||
| 72 | Linear OA(16120, 273, F16, 68) (dual of [273, 153, 69]-code) | [i] | ||