Information on Result #606818
Linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using extended Reed–Solomon code RSe(13,16)
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(1622, 531, F16, 9) (dual of [531, 509, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1629, 4114, F16, 9) (dual of [4114, 4085, 10]-code) | [i] | ||
| 3 | Linear OA(1638, 131091, F16, 9) (dual of [131091, 131053, 10]-code) | [i] | ||
| 4 | Linear OA(1645, 1048594, F16, 9) (dual of [1048594, 1048549, 10]-code) | [i] | ||
| 5 | Linear OA(1620, 531, F16, 8) (dual of [531, 511, 9]-code) | [i] | ||
| 6 | Linear OA(1626, 4113, F16, 8) (dual of [4113, 4087, 9]-code) | [i] | ||
| 7 | Linear OA(1634, 131089, F16, 8) (dual of [131089, 131055, 9]-code) | [i] | ||
| 8 | Linear OA(1640, 1048593, F16, 8) (dual of [1048593, 1048553, 9]-code) | [i] | ||
| 9 | Linear OA(1629, 4116, F16, 9) (dual of [4116, 4087, 10]-code) | [i] | ||
| 10 | Linear OA(1638, 131093, F16, 9) (dual of [131093, 131055, 10]-code) | [i] | ||
| 11 | Linear OA(1646, 1048606, F16, 9) (dual of [1048606, 1048560, 10]-code) | [i] | ||
| 12 | Linear OA(1626, 4116, F16, 8) (dual of [4116, 4090, 9]-code) | [i] | ||
| 13 | Linear OA(1634, 131093, F16, 8) (dual of [131093, 131059, 9]-code) | [i] | ||
| 14 | OA(1648, 2097172, S16, 9) | [i] | ||
| 15 | Linear OA(1651, 4130, F16, 14) (dual of [4130, 4079, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(1665, 131106, F16, 14) (dual of [131106, 131041, 15]-code) | [i] | ||
| 17 | Linear OA(1677, 1048610, F16, 14) (dual of [1048610, 1048533, 15]-code) | [i] | ||
| 18 | Linear OA(1678, 1048617, F16, 14) (dual of [1048617, 1048539, 15]-code) | [i] | ||
| 19 | Linear OA(1647, 4131, F16, 13) (dual of [4131, 4084, 14]-code) | [i] | ||
| 20 | Linear OA(1660, 131108, F16, 13) (dual of [131108, 131048, 14]-code) | [i] | ||
| 21 | Linear OA(1671, 1048611, F16, 13) (dual of [1048611, 1048540, 14]-code) | [i] | ||
| 22 | Linear OA(1672, 1048618, F16, 13) (dual of [1048618, 1048546, 14]-code) | [i] | ||
| 23 | Linear OA(1666, 1048610, F16, 12) (dual of [1048610, 1048544, 13]-code) | [i] | ||
| 24 | Linear OA(1648, 1048611, F16, 9) (dual of [1048611, 1048563, 10]-code) | [i] | ||
| 25 | Linear OA(1642, 1048610, F16, 8) (dual of [1048610, 1048568, 9]-code) | [i] | ||
| 26 | Linear OA(16125, 65554, F16, 32) (dual of [65554, 65429, 33]-code) | [i] | Construction X with Cyclic Codes | |
| 27 | Linear OA(16125, 4114, F16, 42) (dual of [4114, 3989, 43]-code) | [i] | ||
| 28 | Linear OA(16119, 4114, F16, 40) (dual of [4114, 3995, 41]-code) | [i] | ||
| 29 | Linear OA(16113, 4114, F16, 38) (dual of [4114, 4001, 39]-code) | [i] | ||
| 30 | Linear OA(1695, 4114, F16, 30) (dual of [4114, 4019, 31]-code) | [i] | ||
| 31 | Linear OA(1689, 4114, F16, 28) (dual of [4114, 4025, 29]-code) | [i] | ||
| 32 | Linear OA(1683, 4114, F16, 26) (dual of [4114, 4031, 27]-code) | [i] | ||
| 33 | Linear OA(1677, 4114, F16, 24) (dual of [4114, 4037, 25]-code) | [i] | ||
| 34 | Linear OA(1671, 4114, F16, 22) (dual of [4114, 4043, 23]-code) | [i] | ||
| 35 | Linear OA(1665, 4114, F16, 20) (dual of [4114, 4049, 21]-code) | [i] | ||
| 36 | Linear OA(1653, 4114, F16, 16) (dual of [4114, 4061, 17]-code) | [i] | ||
| 37 | Linear OA(1647, 4114, F16, 14) (dual of [4114, 4067, 15]-code) | [i] | ||
| 38 | Linear OA(16124, 607, F16, 45) (dual of [607, 483, 46]-code) | [i] | Construction XX with Cyclic Codes | |
| 39 | Linear OA(16123, 605, F16, 45) (dual of [605, 482, 46]-code) | [i] | ||
| 40 | Linear OA(16127, 607, F16, 46) (dual of [607, 480, 47]-code) | [i] | ||
| 41 | Linear OA(16126, 605, F16, 46) (dual of [605, 479, 47]-code) | [i] | ||
| 42 | Linear OA(16128, 611, F16, 46) (dual of [611, 483, 47]-code) | [i] | ||
| 43 | Linear OA(16127, 609, F16, 46) (dual of [609, 482, 47]-code) | [i] | ||
| 44 | Linear OA(16130, 609, F16, 47) (dual of [609, 479, 48]-code) | [i] | ||
| 45 | Linear OA(16129, 605, F16, 47) (dual of [605, 476, 48]-code) | [i] | ||
| 46 | Linear OA(16103, 4116, F16, 34) (dual of [4116, 4013, 35]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 47 | Linear OA(1697, 4116, F16, 32) (dual of [4116, 4019, 33]-code) | [i] | ||
| 48 | Linear OA(16119, 276, F16, 60) (dual of [276, 157, 61]-code) | [i] | ||
| 49 | Linear OA(16115, 276, F16, 58) (dual of [276, 161, 59]-code) | [i] | ||
| 50 | Linear OA(16111, 276, F16, 56) (dual of [276, 165, 57]-code) | [i] | ||
| 51 | Linear OA(16107, 276, F16, 54) (dual of [276, 169, 55]-code) | [i] | ||
| 52 | Linear OA(16103, 276, F16, 52) (dual of [276, 173, 53]-code) | [i] | ||
| 53 | Linear OA(1699, 276, F16, 50) (dual of [276, 177, 51]-code) | [i] | ||
| 54 | Linear OA(1695, 276, F16, 48) (dual of [276, 181, 49]-code) | [i] | ||
| 55 | Linear OA(1691, 276, F16, 46) (dual of [276, 185, 47]-code) | [i] | ||
| 56 | Linear OA(1687, 276, F16, 44) (dual of [276, 189, 45]-code) | [i] | ||
| 57 | Linear OA(1683, 276, F16, 42) (dual of [276, 193, 43]-code) | [i] | ||
| 58 | Linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 59 | Linear OA(16125, 65553, F16, 33) (dual of [65553, 65428, 34]-code) | [i] | ||
| 60 | Linear OA(1677, 65553, F16, 20) (dual of [65553, 65476, 21]-code) | [i] | ||
| 61 | Linear OA(1673, 65553, F16, 19) (dual of [65553, 65480, 20]-code) | [i] | ||
| 62 | Linear OA(1669, 65553, F16, 18) (dual of [65553, 65484, 19]-code) | [i] | ||
| 63 | Linear OA(1665, 65553, F16, 17) (dual of [65553, 65488, 18]-code) | [i] | ||
| 64 | Linear OA(16128, 4113, F16, 44) (dual of [4113, 3985, 45]-code) | [i] | ||
| 65 | Linear OA(16122, 4113, F16, 42) (dual of [4113, 3991, 43]-code) | [i] | ||
| 66 | Linear OA(16116, 4113, F16, 40) (dual of [4113, 3997, 41]-code) | [i] | ||
| 67 | Linear OA(16110, 4113, F16, 38) (dual of [4113, 4003, 39]-code) | [i] | ||
| 68 | Linear OA(1692, 4113, F16, 31) (dual of [4113, 4021, 32]-code) | [i] | ||
| 69 | Linear OA(1689, 4113, F16, 30) (dual of [4113, 4024, 31]-code) | [i] | ||
| 70 | Linear OA(1686, 4113, F16, 29) (dual of [4113, 4027, 30]-code) | [i] | ||
| 71 | Linear OA(1683, 4113, F16, 28) (dual of [4113, 4030, 29]-code) | [i] | ||
| 72 | Linear OA(1680, 4113, F16, 27) (dual of [4113, 4033, 28]-code) | [i] | ||
| 73 | Linear OA(1677, 4113, F16, 26) (dual of [4113, 4036, 27]-code) | [i] | ||
| 74 | Linear OA(1674, 4113, F16, 25) (dual of [4113, 4039, 26]-code) | [i] | ||
| 75 | Linear OA(1671, 4113, F16, 24) (dual of [4113, 4042, 25]-code) | [i] | ||
| 76 | Linear OA(1668, 4113, F16, 23) (dual of [4113, 4045, 24]-code) | [i] | ||
| 77 | Linear OA(1665, 4113, F16, 22) (dual of [4113, 4048, 23]-code) | [i] | ||
| 78 | Linear OA(1650, 4113, F16, 16) (dual of [4113, 4063, 17]-code) | [i] | ||
| 79 | Linear OA(1644, 4113, F16, 14) (dual of [4113, 4069, 15]-code) | [i] | ||
| 80 | Linear OA(1638, 4113, F16, 12) (dual of [4113, 4075, 13]-code) | [i] | ||
| 81 | Linear OA(1632, 4113, F16, 10) (dual of [4113, 4081, 11]-code) | [i] | ||
| 82 | Linear OA(16129, 603, F16, 47) (dual of [603, 474, 48]-code) | [i] | ||
| 83 | Linear OA(16126, 603, F16, 46) (dual of [603, 477, 47]-code) | [i] | ||
| 84 | Linear OA(16123, 603, F16, 45) (dual of [603, 480, 46]-code) | [i] | ||
| 85 | Linear OA(16120, 603, F16, 44) (dual of [603, 483, 45]-code) | [i] | ||
| 86 | Linear OA(16105, 4114, F16, 36) (dual of [4114, 4009, 37]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 87 | Linear OA(1699, 4114, F16, 34) (dual of [4114, 4015, 35]-code) | [i] | ||
| 88 | Linear OA(1660, 4114, F16, 20) (dual of [4114, 4054, 21]-code) | [i] | ||
| 89 | Linear OA(1657, 4114, F16, 19) (dual of [4114, 4057, 20]-code) | [i] | ||
| 90 | Linear OA(1654, 4114, F16, 18) (dual of [4114, 4060, 19]-code) | [i] | ||
| 91 | Linear OA(1651, 4114, F16, 17) (dual of [4114, 4063, 18]-code) | [i] | ||