Information on Result #606368
Linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using Reed–Solomon code RS(6,16)
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(16122, 128, F16, 87) (dual of [128, 6, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16122, 126, F16, 98) (dual of [126, 4, 99]-code) | [i] | ||
| 3 | Linear OA(1674, 80, F16, 64) (dual of [80, 6, 65]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(1674, 79, F16, 65) (dual of [79, 5, 66]-code) | [i] | ||
| 5 | Linear OA(1674, 78, F16, 66) (dual of [78, 4, 67]-code) | [i] | ||
| 6 | Linear OA(1675, 78, F16, 70) (dual of [78, 3, 71]-code) | [i] | ||
| 7 | Linear OA(16130, 133, F16, 122) (dual of [133, 3, 123]-code) | [i] | ||
| 8 | Linear OA(285, 105, F2, 32) (dual of [105, 20, 33]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(282, 98, F2, 32) (dual of [98, 16, 33]-code) | [i] | ||
| 10 | Linear OA(296, 112, F2, 43) (dual of [112, 16, 44]-code) | [i] | ||
| 11 | Linear OA(292, 104, F2, 43) (dual of [104, 12, 44]-code) | [i] | ||
| 12 | Linear OA(436, 48, F4, 21) (dual of [48, 12, 22]-code) | [i] | ||
| 13 | Linear OA(435, 45, F4, 21) (dual of [45, 10, 22]-code) | [i] | ||
| 14 | Linear OA(434, 42, F4, 21) (dual of [42, 8, 22]-code) | [i] | ||
| 15 | Linear OA(452, 64, F4, 32) (dual of [64, 12, 33]-code) | [i] | ||
| 16 | Linear OA(450, 60, F4, 32) (dual of [60, 10, 33]-code) | [i] | ||
| 17 | Linear OA(468, 80, F4, 43) (dual of [80, 12, 44]-code) | [i] | ||
| 18 | Linear OA(465, 75, F4, 43) (dual of [75, 10, 44]-code) | [i] | ||
| 19 | Linear OOA(272, 48, F2, 2, 32) (dual of [(48, 2), 24, 33]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 20 | Linear OOA(270, 45, F2, 2, 32) (dual of [(45, 2), 20, 33]-NRT-code) | [i] | ||
| 21 | Linear OOA(268, 42, F2, 2, 32) (dual of [(42, 2), 16, 33]-NRT-code) | [i] | ||
| 22 | Linear OOA(2136, 80, F2, 2, 65) (dual of [(80, 2), 24, 66]-NRT-code) | [i] | ||
| 23 | Linear OOA(2130, 75, F2, 2, 65) (dual of [(75, 2), 20, 66]-NRT-code) | [i] | ||
| 24 | Linear OOA(2124, 70, F2, 2, 65) (dual of [(70, 2), 16, 66]-NRT-code) | [i] | ||
| 25 | Linear OOA(2118, 65, F2, 2, 65) (dual of [(65, 2), 12, 66]-NRT-code) | [i] | ||
| 26 | Linear OOA(2112, 60, F2, 2, 65) (dual of [(60, 2), 8, 66]-NRT-code) | [i] | ||
| 27 | Linear OOA(2208, 112, F2, 2, 109) (dual of [(112, 2), 16, 110]-NRT-code) | [i] | ||
| 28 | Linear OOA(2196, 104, F2, 2, 109) (dual of [(104, 2), 12, 110]-NRT-code) | [i] | ||
| 29 | Linear OOA(4116, 64, F4, 2, 76) (dual of [(64, 2), 12, 77]-NRT-code) | [i] | ||
| 30 | Linear OOA(4104, 56, F4, 2, 76) (dual of [(56, 2), 8, 77]-NRT-code) | [i] | ||
| 31 | Linear OOA(498, 52, F4, 2, 76) (dual of [(52, 2), 6, 77]-NRT-code) | [i] | ||
| 32 | Linear OOA(492, 48, F4, 2, 76) (dual of [(48, 2), 4, 77]-NRT-code) | [i] | ||
| 33 | Linear OOA(4140, 75, F4, 2, 98) (dual of [(75, 2), 10, 99]-NRT-code) | [i] | ||
| 34 | Linear OOA(4132, 70, F4, 2, 98) (dual of [(70, 2), 8, 99]-NRT-code) | [i] | ||
| 35 | Linear OOA(4116, 60, F4, 2, 98) (dual of [(60, 2), 4, 99]-NRT-code) | [i] | ||
| 36 | Linear OOA(270, 30, F2, 3, 32) (dual of [(30, 3), 20, 33]-NRT-code) | [i] | ||
| 37 | Linear OOA(2120, 48, F2, 3, 65) (dual of [(48, 3), 24, 66]-NRT-code) | [i] | ||
| 38 | Linear OOA(2115, 45, F2, 3, 65) (dual of [(45, 3), 20, 66]-NRT-code) | [i] | ||
| 39 | Linear OOA(2110, 42, F2, 3, 65) (dual of [(42, 3), 16, 66]-NRT-code) | [i] | ||
| 40 | Linear OOA(2105, 39, F2, 3, 65) (dual of [(39, 3), 12, 66]-NRT-code) | [i] | ||
| 41 | Linear OOA(2100, 36, F2, 3, 65) (dual of [(36, 3), 8, 66]-NRT-code) | [i] | ||
| 42 | Linear OOA(2152, 56, F2, 3, 87) (dual of [(56, 3), 16, 88]-NRT-code) | [i] | ||
| 43 | Linear OOA(2216, 80, F2, 3, 120) (dual of [(80, 3), 24, 121]-NRT-code) | [i] | ||
| 44 | Linear OOA(2205, 75, F2, 3, 120) (dual of [(75, 3), 20, 121]-NRT-code) | [i] | ||
| 45 | Linear OOA(2194, 70, F2, 3, 120) (dual of [(70, 3), 16, 121]-NRT-code) | [i] | ||
| 46 | Linear OOA(2183, 65, F2, 3, 120) (dual of [(65, 3), 12, 121]-NRT-code) | [i] | ||
| 47 | Linear OOA(2172, 60, F2, 3, 120) (dual of [(60, 3), 8, 121]-NRT-code) | [i] | ||
| 48 | Linear OOA(2160, 45, F2, 4, 98) (dual of [(45, 4), 20, 99]-NRT-code) | [i] | ||
| 49 | Linear OOA(2144, 39, F2, 4, 98) (dual of [(39, 4), 12, 99]-NRT-code) | [i] | ||
| 50 | Linear OOA(2136, 36, F2, 4, 98) (dual of [(36, 4), 8, 99]-NRT-code) | [i] | ||
| 51 | Linear OOA(2208, 56, F2, 4, 131) (dual of [(56, 4), 16, 132]-NRT-code) | [i] | ||
| 52 | Linear OOA(2248, 65, F2, 4, 175) (dual of [(65, 4), 12, 176]-NRT-code) | [i] | ||
| 53 | Linear OOA(2232, 60, F2, 4, 175) (dual of [(60, 4), 8, 176]-NRT-code) | [i] | ||
| 54 | Linear OA(16112, 4120, F16, 32) (dual of [4120, 4008, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 55 | Linear OA(16113, 4122, F16, 32) (dual of [4122, 4009, 33]-code) | [i] | ||
| 56 | Linear OA(16114, 4124, F16, 32) (dual of [4124, 4010, 33]-code) | [i] | ||
| 57 | Linear OA(16115, 4126, F16, 32) (dual of [4126, 4011, 33]-code) | [i] | ||
| 58 | Linear OA(16110, 4120, F16, 31) (dual of [4120, 4010, 32]-code) | [i] | ||
| 59 | Linear OA(16111, 4122, F16, 31) (dual of [4122, 4011, 32]-code) | [i] | ||
| 60 | Linear OA(16112, 4124, F16, 31) (dual of [4124, 4012, 32]-code) | [i] | ||
| 61 | Linear OA(16107, 4120, F16, 30) (dual of [4120, 4013, 31]-code) | [i] | ||
| 62 | Linear OA(16108, 4122, F16, 30) (dual of [4122, 4014, 31]-code) | [i] | ||
| 63 | Linear OA(16109, 4124, F16, 30) (dual of [4124, 4015, 31]-code) | [i] | ||