Information on Result #606367
Linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using Reed–Solomon code RS(7,16)
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(16126, 130, F16, 99) (dual of [130, 4, 100]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1674, 81, F16, 62) (dual of [81, 7, 63]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(1673, 79, F16, 63) (dual of [79, 6, 64]-code) | [i] | ||
| 4 | Linear OA(1673, 78, F16, 64) (dual of [78, 5, 65]-code) | [i] | ||
| 5 | Linear OA(1673, 77, F16, 65) (dual of [77, 4, 66]-code) | [i] | ||
| 6 | Linear OA(1674, 77, F16, 69) (dual of [77, 3, 70]-code) | [i] | ||
| 7 | Linear OA(16129, 132, F16, 121) (dual of [132, 3, 122]-code) | [i] | ||
| 8 | Linear OA(292, 112, F2, 39) (dual of [112, 20, 40]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(288, 104, F2, 39) (dual of [104, 16, 40]-code) | [i] | ||
| 10 | Linear OA(284, 96, F2, 39) (dual of [96, 12, 40]-code) | [i] | ||
| 11 | Linear OA(2157, 165, F2, 79) (dual of [165, 8, 80]-code) | [i] | ||
| 12 | Linear OA(434, 48, F4, 19) (dual of [48, 14, 20]-code) | [i] | ||
| 13 | Linear OA(433, 45, F4, 19) (dual of [45, 12, 20]-code) | [i] | ||
| 14 | Linear OA(432, 42, F4, 19) (dual of [42, 10, 20]-code) | [i] | ||
| 15 | Linear OA(431, 39, F4, 19) (dual of [39, 8, 20]-code) | [i] | ||
| 16 | Linear OA(430, 36, F4, 19) (dual of [36, 6, 20]-code) | [i] | ||
| 17 | Linear OA(448, 60, F4, 29) (dual of [60, 12, 30]-code) | [i] | ||
| 18 | Linear OA(446, 56, F4, 29) (dual of [56, 10, 30]-code) | [i] | ||
| 19 | Linear OA(440, 44, F4, 29) (dual of [44, 4, 30]-code) | [i] | ||
| 20 | Linear OA(466, 80, F4, 39) (dual of [80, 14, 40]-code) | [i] | ||
| 21 | Linear OA(463, 75, F4, 39) (dual of [75, 12, 40]-code) | [i] | ||
| 22 | Linear OA(460, 70, F4, 39) (dual of [70, 10, 40]-code) | [i] | ||
| 23 | Linear OA(451, 55, F4, 39) (dual of [55, 4, 40]-code) | [i] | ||
| 24 | Linear OOA(268, 48, F2, 2, 29) (dual of [(48, 2), 28, 30]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 25 | Linear OOA(266, 45, F2, 2, 29) (dual of [(45, 2), 24, 30]-NRT-code) | [i] | ||
| 26 | Linear OOA(264, 42, F2, 2, 29) (dual of [(42, 2), 20, 30]-NRT-code) | [i] | ||
| 27 | Linear OOA(262, 39, F2, 2, 29) (dual of [(39, 2), 16, 30]-NRT-code) | [i] | ||
| 28 | Linear OOA(2132, 80, F2, 2, 59) (dual of [(80, 2), 28, 60]-NRT-code) | [i] | ||
| 29 | Linear OOA(2126, 75, F2, 2, 59) (dual of [(75, 2), 24, 60]-NRT-code) | [i] | ||
| 30 | Linear OOA(2120, 70, F2, 2, 59) (dual of [(70, 2), 20, 60]-NRT-code) | [i] | ||
| 31 | Linear OOA(2114, 65, F2, 2, 59) (dual of [(65, 2), 16, 60]-NRT-code) | [i] | ||
| 32 | Linear OOA(484, 44, F4, 2, 69) (dual of [(44, 2), 4, 70]-NRT-code) | [i] | ||
| 33 | Linear OOA(4106, 55, F4, 2, 89) (dual of [(55, 2), 4, 90]-NRT-code) | [i] | ||
| 34 | Linear OOA(262, 26, F2, 3, 29) (dual of [(26, 3), 16, 30]-NRT-code) | [i] | ||
| 35 | Linear OOA(2116, 48, F2, 3, 59) (dual of [(48, 3), 28, 60]-NRT-code) | [i] | ||
| 36 | Linear OOA(2111, 45, F2, 3, 59) (dual of [(45, 3), 24, 60]-NRT-code) | [i] | ||
| 37 | Linear OOA(2106, 42, F2, 3, 59) (dual of [(42, 3), 20, 60]-NRT-code) | [i] | ||
| 38 | Linear OOA(2101, 39, F2, 3, 59) (dual of [(39, 3), 16, 60]-NRT-code) | [i] | ||
| 39 | Linear OOA(296, 36, F2, 3, 59) (dual of [(36, 3), 12, 60]-NRT-code) | [i] | ||
| 40 | Linear OOA(291, 33, F2, 3, 59) (dual of [(33, 3), 8, 60]-NRT-code) | [i] | ||
| 41 | Linear OOA(2201, 75, F2, 3, 109) (dual of [(75, 3), 24, 110]-NRT-code) | [i] | ||
| 42 | Linear OOA(2190, 70, F2, 3, 109) (dual of [(70, 3), 20, 110]-NRT-code) | [i] | ||
| 43 | Linear OOA(2179, 65, F2, 3, 109) (dual of [(65, 3), 16, 110]-NRT-code) | [i] | ||
| 44 | Linear OOA(2168, 60, F2, 3, 109) (dual of [(60, 3), 12, 110]-NRT-code) | [i] | ||
| 45 | Linear OOA(2157, 55, F2, 3, 109) (dual of [(55, 3), 8, 110]-NRT-code) | [i] | ||
| 46 | Linear OOA(2140, 39, F2, 4, 89) (dual of [(39, 4), 16, 90]-NRT-code) | [i] | ||
| 47 | Linear OOA(2132, 36, F2, 4, 89) (dual of [(36, 4), 12, 90]-NRT-code) | [i] | ||
| 48 | Linear OOA(2124, 33, F2, 4, 89) (dual of [(33, 4), 8, 90]-NRT-code) | [i] | ||
| 49 | Linear OOA(2244, 65, F2, 4, 159) (dual of [(65, 4), 16, 160]-NRT-code) | [i] | ||
| 50 | Linear OOA(2228, 60, F2, 4, 159) (dual of [(60, 4), 12, 160]-NRT-code) | [i] | ||
| 51 | Linear OOA(2212, 55, F2, 4, 159) (dual of [(55, 4), 8, 160]-NRT-code) | [i] | ||
| 52 | Linear OA(1672, 78, F16, 63) (dual of [78, 6, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 53 | Linear OA(1671, 80, F16, 59) (dual of [80, 9, 60]-code) | [i] | ||
| 54 | Linear OA(1670, 80, F16, 58) (dual of [80, 10, 59]-code) | [i] | ||
| 55 | Linear OA(16102, 4118, F16, 29) (dual of [4118, 4016, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 56 | Linear OA(16103, 4120, F16, 29) (dual of [4120, 4017, 30]-code) | [i] | ||
| 57 | Linear OA(16104, 4122, F16, 29) (dual of [4122, 4018, 30]-code) | [i] | ||
| 58 | Linear OA(1699, 4118, F16, 28) (dual of [4118, 4019, 29]-code) | [i] | ||
| 59 | Linear OA(16100, 4120, F16, 28) (dual of [4120, 4020, 29]-code) | [i] | ||
| 60 | Linear OA(16101, 4122, F16, 28) (dual of [4122, 4021, 29]-code) | [i] | ||
| 61 | Linear OA(16130, 131094, F16, 28) (dual of [131094, 130964, 29]-code) | [i] | ||
| 62 | Linear OA(1696, 4118, F16, 27) (dual of [4118, 4022, 28]-code) | [i] | ||
| 63 | Linear OA(1697, 4120, F16, 27) (dual of [4120, 4023, 28]-code) | [i] | ||
| 64 | Linear OA(16122, 270, F16, 69) (dual of [270, 148, 70]-code) | [i] | Construction X with Cyclic Codes | |