Information on Result #606572
Linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using Reed–Solomon code RS(74,81)
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(8182, 6589, F81, 29) (dual of [6589, 6507, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8180, 6588, F81, 28) (dual of [6588, 6508, 29]-code) | [i] | ||
| 3 | Linear OA(8182, 384, F81, 59) (dual of [384, 302, 60]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 4 | Linear OA(8181, 384, F81, 58) (dual of [384, 303, 59]-code) | [i] | ||
| 5 | Linear OA(8180, 384, F81, 57) (dual of [384, 304, 58]-code) | [i] | ||
| 6 | Linear OA(8179, 384, F81, 56) (dual of [384, 305, 57]-code) | [i] | ||
| 7 | Linear OA(8178, 384, F81, 55) (dual of [384, 306, 56]-code) | [i] | ||
| 8 | Linear OA(8177, 384, F81, 54) (dual of [384, 307, 55]-code) | [i] | ||
| 9 | Linear OA(8176, 384, F81, 53) (dual of [384, 308, 54]-code) | [i] | ||
| 10 | Linear OA(8175, 384, F81, 52) (dual of [384, 309, 53]-code) | [i] | ||
| 11 | Linear OA(8174, 384, F81, 51) (dual of [384, 310, 52]-code) | [i] | ||
| 12 | Linear OA(8173, 384, F81, 50) (dual of [384, 311, 51]-code) | [i] | ||
| 13 | Linear OA(8172, 384, F81, 49) (dual of [384, 312, 50]-code) | [i] | ||
| 14 | Linear OA(8171, 384, F81, 48) (dual of [384, 313, 49]-code) | [i] | ||
| 15 | Linear OA(8170, 384, F81, 47) (dual of [384, 314, 48]-code) | [i] | ||
| 16 | Linear OA(8169, 384, F81, 46) (dual of [384, 315, 47]-code) | [i] | ||
| 17 | Linear OA(8168, 384, F81, 45) (dual of [384, 316, 46]-code) | [i] | ||
| 18 | Linear OA(8167, 384, F81, 44) (dual of [384, 317, 45]-code) | [i] | ||
| 19 | Linear OA(8166, 384, F81, 43) (dual of [384, 318, 44]-code) | [i] | ||
| 20 | Linear OA(8165, 384, F81, 42) (dual of [384, 319, 43]-code) | [i] | ||
| 21 | Linear OA(8164, 384, F81, 41) (dual of [384, 320, 42]-code) | [i] | ||
| 22 | Linear OA(8163, 384, F81, 40) (dual of [384, 321, 41]-code) | [i] | ||
| 23 | Linear OA(8162, 384, F81, 39) (dual of [384, 322, 40]-code) | [i] | ||
| 24 | Linear OA(8161, 384, F81, 38) (dual of [384, 323, 39]-code) | [i] | ||
| 25 | Linear OA(8160, 384, F81, 37) (dual of [384, 324, 38]-code) | [i] | ||
| 26 | Linear OA(8159, 384, F81, 36) (dual of [384, 325, 37]-code) | [i] | ||
| 27 | Linear OA(8158, 384, F81, 35) (dual of [384, 326, 36]-code) | [i] | ||
| 28 | Linear OA(8157, 384, F81, 34) (dual of [384, 327, 35]-code) | [i] | ||
| 29 | Linear OA(8156, 384, F81, 33) (dual of [384, 328, 34]-code) | [i] | ||
| 30 | Linear OA(8155, 384, F81, 32) (dual of [384, 329, 33]-code) | [i] | ||
| 31 | Linear OA(8154, 384, F81, 31) (dual of [384, 330, 32]-code) | [i] | ||
| 32 | Linear OA(8153, 384, F81, 30) (dual of [384, 331, 31]-code) | [i] | ||
| 33 | Linear OA(8152, 384, F81, 29) (dual of [384, 332, 30]-code) | [i] | ||
| 34 | Linear OA(8161, 6580, F81, 23) (dual of [6580, 6519, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 35 | Linear OA(8162, 6582, F81, 23) (dual of [6582, 6520, 24]-code) | [i] | ||
| 36 | Linear OA(8159, 6579, F81, 22) (dual of [6579, 6520, 23]-code) | [i] | ||
| 37 | Linear OA(8160, 6581, F81, 22) (dual of [6581, 6521, 23]-code) | [i] | ||
| 38 | Linear OA(8180, 531459, F81, 22) (dual of [531459, 531379, 23]-code) | [i] | ||
| 39 | Linear OA(8181, 531461, F81, 22) (dual of [531461, 531380, 23]-code) | [i] | ||
| 40 | Linear OA(8157, 6580, F81, 21) (dual of [6580, 6523, 22]-code) | [i] | ||
| 41 | Linear OA(8177, 531460, F81, 21) (dual of [531460, 531383, 22]-code) | [i] | ||
| 42 | Linear OA(8180, 531473, F81, 25) (dual of [531473, 531393, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 43 | Linear OA(8174, 531473, F81, 23) (dual of [531473, 531399, 24]-code) | [i] | ||
| 44 | Linear OA(8168, 531473, F81, 21) (dual of [531473, 531405, 22]-code) | [i] | ||
| 45 | Linear OA(8162, 531473, F81, 19) (dual of [531473, 531411, 20]-code) | [i] | ||
| 46 | Linear OA(8156, 531473, F81, 17) (dual of [531473, 531417, 18]-code) | [i] | ||
| 47 | Linear OA(8180, 6585, F81, 37) (dual of [6585, 6505, 38]-code) | [i] | ||
| 48 | Linear OA(8176, 6585, F81, 35) (dual of [6585, 6509, 36]-code) | [i] | ||
| 49 | Linear OA(8172, 6585, F81, 33) (dual of [6585, 6513, 34]-code) | [i] | ||
| 50 | Linear OA(8168, 6585, F81, 31) (dual of [6585, 6517, 32]-code) | [i] | ||
| 51 | Linear OA(8164, 6585, F81, 29) (dual of [6585, 6521, 30]-code) | [i] | ||
| 52 | Linear OA(8160, 6585, F81, 27) (dual of [6585, 6525, 28]-code) | [i] | ||
| 53 | Linear OA(8156, 6585, F81, 25) (dual of [6585, 6529, 26]-code) | [i] | ||
| 54 | Linear OA(8152, 6585, F81, 23) (dual of [6585, 6533, 24]-code) | [i] | ||
| 55 | Linear OA(8148, 6585, F81, 21) (dual of [6585, 6537, 22]-code) | [i] | ||
| 56 | Linear OA(8144, 6585, F81, 19) (dual of [6585, 6541, 20]-code) | [i] | ||
| 57 | Linear OA(8140, 6585, F81, 17) (dual of [6585, 6545, 18]-code) | [i] | ||
| 58 | Linear OA(8177, 531472, F81, 24) (dual of [531472, 531395, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 59 | Linear OA(8171, 531472, F81, 22) (dual of [531472, 531401, 23]-code) | [i] | ||
| 60 | Linear OA(8165, 531472, F81, 20) (dual of [531472, 531407, 21]-code) | [i] | ||
| 61 | Linear OA(8159, 531472, F81, 18) (dual of [531472, 531413, 19]-code) | [i] | ||
| 62 | Linear OA(8153, 531472, F81, 16) (dual of [531472, 531419, 17]-code) | [i] | ||
| 63 | Linear OA(8182, 6584, F81, 38) (dual of [6584, 6502, 39]-code) | [i] | ||
| 64 | Linear OA(8178, 6584, F81, 36) (dual of [6584, 6506, 37]-code) | [i] | ||
| 65 | Linear OA(8174, 6584, F81, 34) (dual of [6584, 6510, 35]-code) | [i] | ||
| 66 | Linear OA(8170, 6584, F81, 32) (dual of [6584, 6514, 33]-code) | [i] | ||
| 67 | Linear OA(8166, 6584, F81, 30) (dual of [6584, 6518, 31]-code) | [i] | ||
| 68 | Linear OA(8162, 6584, F81, 28) (dual of [6584, 6522, 29]-code) | [i] | ||
| 69 | Linear OA(8158, 6584, F81, 26) (dual of [6584, 6526, 27]-code) | [i] | ||
| 70 | Linear OA(8154, 6584, F81, 24) (dual of [6584, 6530, 25]-code) | [i] | ||
| 71 | Linear OA(8150, 6584, F81, 22) (dual of [6584, 6534, 23]-code) | [i] | ||
| 72 | Linear OA(8146, 6584, F81, 20) (dual of [6584, 6538, 21]-code) | [i] | ||
| 73 | Linear OA(8142, 6584, F81, 18) (dual of [6584, 6542, 19]-code) | [i] | ||
| 74 | Linear OA(8138, 6584, F81, 16) (dual of [6584, 6546, 17]-code) | [i] | ||