Information on Result #606575

Linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), using Reed–Solomon code RS(71,81)

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:

ResultThis
result
only		Method
1Linear OA(3142, 170, F3, 65) (dual of [170, 28, 66]-code) [i]Concatenation of Two Codes
2Linear OA(3136, 160, F3, 65) (dual of [160, 24, 66]-code) [i]
3Linear OA(3130, 150, F3, 65) (dual of [150, 20, 66]-code) [i]
4Linear OA(3124, 140, F3, 65) (dual of [140, 16, 66]-code) [i]
5Linear OOA(3128, 88, F3, 2, 54) (dual of [(88, 2), 48, 55]-NRT-code) [i]Concatenation of Two NRT-Codes
6Linear OA(8182, 390, F81, 56) (dual of [390, 308, 57]-code) [i]Construction X with Algebraic-Geometric Codes
7Linear OA(8181, 390, F81, 55) (dual of [390, 309, 56]-code) [i]
8Linear OA(8180, 390, F81, 54) (dual of [390, 310, 55]-code) [i]
9Linear OA(8179, 390, F81, 53) (dual of [390, 311, 54]-code) [i]
10Linear OA(8178, 390, F81, 52) (dual of [390, 312, 53]-code) [i]
11Linear OA(8177, 390, F81, 51) (dual of [390, 313, 52]-code) [i]
12Linear OA(8176, 390, F81, 50) (dual of [390, 314, 51]-code) [i]
13Linear OA(8175, 390, F81, 49) (dual of [390, 315, 50]-code) [i]
14Linear OA(8174, 390, F81, 48) (dual of [390, 316, 49]-code) [i]
15Linear OA(8173, 390, F81, 47) (dual of [390, 317, 48]-code) [i]
16Linear OA(8172, 390, F81, 46) (dual of [390, 318, 47]-code) [i]
17Linear OA(8171, 390, F81, 45) (dual of [390, 319, 46]-code) [i]
18Linear OA(8170, 390, F81, 44) (dual of [390, 320, 45]-code) [i]
19Linear OA(8169, 390, F81, 43) (dual of [390, 321, 44]-code) [i]
20Linear OA(8168, 390, F81, 42) (dual of [390, 322, 43]-code) [i]
21Linear OA(8167, 390, F81, 41) (dual of [390, 323, 42]-code) [i]
22Linear OA(8166, 390, F81, 40) (dual of [390, 324, 41]-code) [i]
23Linear OA(8165, 390, F81, 39) (dual of [390, 325, 40]-code) [i]
24Linear OA(8164, 390, F81, 38) (dual of [390, 326, 39]-code) [i]
25Linear OA(8163, 390, F81, 37) (dual of [390, 327, 38]-code) [i]
26Linear OA(8162, 390, F81, 36) (dual of [390, 328, 37]-code) [i]
27Linear OA(8161, 390, F81, 35) (dual of [390, 329, 36]-code) [i]
28Linear OA(8160, 390, F81, 34) (dual of [390, 330, 35]-code) [i]
29Linear OA(8181, 6585, F81, 30) (dual of [6585, 6504, 31]-code) [i](u, u−v, u+v+w)-Construction
30Linear OA(8182, 6587, F81, 30) (dual of [6587, 6505, 31]-code) [i]
31Linear OA(8180, 531484, F81, 24) (dual of [531484, 531404, 25]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
32Linear OA(8177, 531484, F81, 23) (dual of [531484, 531407, 24]-code) [i]
33Linear OA(8174, 531484, F81, 22) (dual of [531484, 531410, 23]-code) [i]
34Linear OA(8181, 6593, F81, 36) (dual of [6593, 6512, 37]-code) [i]
35Linear OA(8179, 6593, F81, 35) (dual of [6593, 6514, 36]-code) [i]
36Linear OA(8177, 6593, F81, 34) (dual of [6593, 6516, 35]-code) [i]
37Linear OA(8175, 6593, F81, 33) (dual of [6593, 6518, 34]-code) [i]
38Linear OA(8173, 6593, F81, 32) (dual of [6593, 6520, 33]-code) [i]
39Linear OA(8171, 6593, F81, 31) (dual of [6593, 6522, 32]-code) [i]
40Linear OA(8169, 6593, F81, 30) (dual of [6593, 6524, 31]-code) [i]
41Linear OA(8167, 6593, F81, 29) (dual of [6593, 6526, 30]-code) [i]
42Linear OA(8165, 6593, F81, 28) (dual of [6593, 6528, 29]-code) [i]
43Linear OA(8163, 6593, F81, 27) (dual of [6593, 6530, 28]-code) [i]
44Linear OA(8161, 6593, F81, 26) (dual of [6593, 6532, 27]-code) [i]
45Linear OA(8159, 6593, F81, 25) (dual of [6593, 6534, 26]-code) [i]
46Linear OA(8157, 6593, F81, 24) (dual of [6593, 6536, 25]-code) [i]
47Linear OA(8155, 6593, F81, 23) (dual of [6593, 6538, 24]-code) [i]
48Linear OA(8153, 6593, F81, 22) (dual of [6593, 6540, 23]-code) [i]