Information on Result #606571
Linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using Reed–Solomon code RS(75,81)
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(8175, 6586, F81, 27) (dual of [6586, 6511, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8177, 6589, F81, 27) (dual of [6589, 6512, 28]-code) | [i] | ||
| 3 | Linear OA(8173, 6585, F81, 26) (dual of [6585, 6512, 27]-code) | [i] | ||
| 4 | Linear OA(8174, 6588, F81, 26) (dual of [6588, 6514, 27]-code) | [i] | ||
| 5 | Linear OA(8171, 6586, F81, 25) (dual of [6586, 6515, 26]-code) | [i] | ||
| 6 | Linear OA(8182, 382, F81, 60) (dual of [382, 300, 61]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 7 | Linear OA(8181, 382, F81, 59) (dual of [382, 301, 60]-code) | [i] | ||
| 8 | Linear OA(8180, 382, F81, 58) (dual of [382, 302, 59]-code) | [i] | ||
| 9 | Linear OA(8179, 382, F81, 57) (dual of [382, 303, 58]-code) | [i] | ||
| 10 | Linear OA(8178, 382, F81, 56) (dual of [382, 304, 57]-code) | [i] | ||
| 11 | Linear OA(8177, 382, F81, 55) (dual of [382, 305, 56]-code) | [i] | ||
| 12 | Linear OA(8176, 382, F81, 54) (dual of [382, 306, 55]-code) | [i] | ||
| 13 | Linear OA(8175, 382, F81, 53) (dual of [382, 307, 54]-code) | [i] | ||
| 14 | Linear OA(8174, 382, F81, 52) (dual of [382, 308, 53]-code) | [i] | ||
| 15 | Linear OA(8173, 382, F81, 51) (dual of [382, 309, 52]-code) | [i] | ||
| 16 | Linear OA(8172, 382, F81, 50) (dual of [382, 310, 51]-code) | [i] | ||
| 17 | Linear OA(8171, 382, F81, 49) (dual of [382, 311, 50]-code) | [i] | ||
| 18 | Linear OA(8170, 382, F81, 48) (dual of [382, 312, 49]-code) | [i] | ||
| 19 | Linear OA(8169, 382, F81, 47) (dual of [382, 313, 48]-code) | [i] | ||
| 20 | Linear OA(8168, 382, F81, 46) (dual of [382, 314, 47]-code) | [i] | ||
| 21 | Linear OA(8167, 382, F81, 45) (dual of [382, 315, 46]-code) | [i] | ||
| 22 | Linear OA(8166, 382, F81, 44) (dual of [382, 316, 45]-code) | [i] | ||
| 23 | Linear OA(8165, 382, F81, 43) (dual of [382, 317, 44]-code) | [i] | ||
| 24 | Linear OA(8164, 382, F81, 42) (dual of [382, 318, 43]-code) | [i] | ||
| 25 | Linear OA(8163, 382, F81, 41) (dual of [382, 319, 42]-code) | [i] | ||
| 26 | Linear OA(8162, 382, F81, 40) (dual of [382, 320, 41]-code) | [i] | ||
| 27 | Linear OA(8161, 382, F81, 39) (dual of [382, 321, 40]-code) | [i] | ||
| 28 | Linear OA(8160, 382, F81, 38) (dual of [382, 322, 39]-code) | [i] | ||
| 29 | Linear OA(8159, 382, F81, 37) (dual of [382, 323, 38]-code) | [i] | ||
| 30 | Linear OA(8158, 382, F81, 36) (dual of [382, 324, 37]-code) | [i] | ||
| 31 | Linear OA(8157, 382, F81, 35) (dual of [382, 325, 36]-code) | [i] | ||
| 32 | Linear OA(8156, 382, F81, 34) (dual of [382, 326, 35]-code) | [i] | ||
| 33 | Linear OA(8155, 382, F81, 33) (dual of [382, 327, 34]-code) | [i] | ||
| 34 | Linear OA(8154, 382, F81, 32) (dual of [382, 328, 33]-code) | [i] | ||
| 35 | Linear OA(8153, 382, F81, 31) (dual of [382, 329, 32]-code) | [i] | ||
| 36 | Linear OA(8152, 382, F81, 30) (dual of [382, 330, 31]-code) | [i] | ||
| 37 | Linear OA(8151, 382, F81, 29) (dual of [382, 331, 30]-code) | [i] | ||
| 38 | Linear OA(8150, 382, F81, 28) (dual of [382, 332, 29]-code) | [i] | ||
| 39 | Linear OA(8153, 6577, F81, 20) (dual of [6577, 6524, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 40 | Linear OA(8154, 6579, F81, 20) (dual of [6579, 6525, 21]-code) | [i] | ||
| 41 | Linear OA(8172, 531457, F81, 20) (dual of [531457, 531385, 21]-code) | [i] | ||
| 42 | Linear OA(8173, 531459, F81, 20) (dual of [531459, 531386, 21]-code) | [i] | ||
| 43 | Linear OA(8151, 6578, F81, 19) (dual of [6578, 6527, 20]-code) | [i] | ||
| 44 | Linear OA(8169, 531458, F81, 19) (dual of [531458, 531389, 20]-code) | [i] | ||
| 45 | Linear OA(8149, 6577, F81, 18) (dual of [6577, 6528, 19]-code) | [i] | ||
| 46 | Linear OA(8166, 531457, F81, 18) (dual of [531457, 531391, 19]-code) | [i] | ||
| 47 | Linear OA(8182, 531468, F81, 26) (dual of [531468, 531386, 27]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 48 | Linear OA(8179, 531468, F81, 25) (dual of [531468, 531389, 26]-code) | [i] | ||
| 49 | Linear OA(8176, 531468, F81, 24) (dual of [531468, 531392, 25]-code) | [i] | ||
| 50 | Linear OA(8173, 531468, F81, 23) (dual of [531468, 531395, 24]-code) | [i] | ||
| 51 | Linear OA(8170, 531468, F81, 22) (dual of [531468, 531398, 23]-code) | [i] | ||
| 52 | Linear OA(8167, 531468, F81, 21) (dual of [531468, 531401, 22]-code) | [i] | ||
| 53 | Linear OA(8164, 531468, F81, 20) (dual of [531468, 531404, 21]-code) | [i] | ||
| 54 | Linear OA(8161, 531468, F81, 19) (dual of [531468, 531407, 20]-code) | [i] | ||
| 55 | Linear OA(8158, 531468, F81, 18) (dual of [531468, 531410, 19]-code) | [i] | ||
| 56 | Linear OA(8155, 531468, F81, 17) (dual of [531468, 531413, 18]-code) | [i] | ||
| 57 | Linear OA(8152, 531468, F81, 16) (dual of [531468, 531416, 17]-code) | [i] | ||
| 58 | Linear OA(8149, 531468, F81, 15) (dual of [531468, 531419, 16]-code) | [i] | ||
| 59 | Linear OA(8146, 531468, F81, 14) (dual of [531468, 531422, 15]-code) | [i] | ||
| 60 | Linear OA(8181, 6581, F81, 38) (dual of [6581, 6500, 39]-code) | [i] | ||
| 61 | Linear OA(8179, 6581, F81, 37) (dual of [6581, 6502, 38]-code) | [i] | ||
| 62 | Linear OA(8177, 6581, F81, 36) (dual of [6581, 6504, 37]-code) | [i] | ||
| 63 | Linear OA(8175, 6581, F81, 35) (dual of [6581, 6506, 36]-code) | [i] | ||
| 64 | Linear OA(8173, 6581, F81, 34) (dual of [6581, 6508, 35]-code) | [i] | ||
| 65 | Linear OA(8171, 6581, F81, 33) (dual of [6581, 6510, 34]-code) | [i] | ||
| 66 | Linear OA(8169, 6581, F81, 32) (dual of [6581, 6512, 33]-code) | [i] | ||
| 67 | Linear OA(8167, 6581, F81, 31) (dual of [6581, 6514, 32]-code) | [i] | ||
| 68 | Linear OA(8165, 6581, F81, 30) (dual of [6581, 6516, 31]-code) | [i] | ||
| 69 | Linear OA(8163, 6581, F81, 29) (dual of [6581, 6518, 30]-code) | [i] | ||
| 70 | Linear OA(8161, 6581, F81, 28) (dual of [6581, 6520, 29]-code) | [i] | ||
| 71 | Linear OA(8159, 6581, F81, 27) (dual of [6581, 6522, 28]-code) | [i] | ||
| 72 | Linear OA(8157, 6581, F81, 26) (dual of [6581, 6524, 27]-code) | [i] | ||
| 73 | Linear OA(8155, 6581, F81, 25) (dual of [6581, 6526, 26]-code) | [i] | ||
| 74 | Linear OA(8153, 6581, F81, 24) (dual of [6581, 6528, 25]-code) | [i] | ||
| 75 | Linear OA(8151, 6581, F81, 23) (dual of [6581, 6530, 24]-code) | [i] | ||
| 76 | Linear OA(8149, 6581, F81, 22) (dual of [6581, 6532, 23]-code) | [i] | ||
| 77 | Linear OA(8147, 6581, F81, 21) (dual of [6581, 6534, 22]-code) | [i] | ||
| 78 | Linear OA(8145, 6581, F81, 20) (dual of [6581, 6536, 21]-code) | [i] | ||
| 79 | Linear OA(8143, 6581, F81, 19) (dual of [6581, 6538, 20]-code) | [i] | ||
| 80 | Linear OA(8141, 6581, F81, 18) (dual of [6581, 6540, 19]-code) | [i] | ||
| 81 | Linear OA(8139, 6581, F81, 17) (dual of [6581, 6542, 18]-code) | [i] | ||
| 82 | Linear OA(8137, 6581, F81, 16) (dual of [6581, 6544, 17]-code) | [i] | ||
| 83 | Linear OA(8135, 6581, F81, 15) (dual of [6581, 6546, 16]-code) | [i] | ||
| 84 | Linear OA(8133, 6581, F81, 14) (dual of [6581, 6548, 15]-code) | [i] | ||