Information on Result #606576

Linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using Reed–Solomon code RS(70,81)

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(3158, 190, F3, 71) (dual of [190, 32, 72]-code) [i]Concatenation of Two Codes
2Linear OA(3152, 180, F3, 71) (dual of [180, 28, 72]-code) [i]
3Linear OA(3146, 170, F3, 71) (dual of [170, 24, 72]-code) [i]
4Linear OA(3140, 160, F3, 71) (dual of [160, 20, 72]-code) [i]
5Linear OA(3134, 150, F3, 71) (dual of [150, 16, 72]-code) [i]
6Linear OOA(3136, 92, F3, 2, 59) (dual of [(92, 2), 48, 60]-NRT-code) [i]Concatenation of Two NRT-Codes
7Linear OOA(3132, 88, F3, 2, 59) (dual of [(88, 2), 44, 60]-NRT-code) [i]
8Linear OA(8182, 392, F81, 55) (dual of [392, 310, 56]-code) [i]Construction X with Algebraic-Geometric Codes
9Linear OA(8181, 392, F81, 54) (dual of [392, 311, 55]-code) [i]
10Linear OA(8180, 392, F81, 53) (dual of [392, 312, 54]-code) [i]
11Linear OA(8179, 392, F81, 52) (dual of [392, 313, 53]-code) [i]
12Linear OA(8178, 392, F81, 51) (dual of [392, 314, 52]-code) [i]
13Linear OA(8177, 392, F81, 50) (dual of [392, 315, 51]-code) [i]
14Linear OA(8176, 392, F81, 49) (dual of [392, 316, 50]-code) [i]
15Linear OA(8175, 392, F81, 48) (dual of [392, 317, 49]-code) [i]
16Linear OA(8174, 392, F81, 47) (dual of [392, 318, 48]-code) [i]
17Linear OA(8173, 392, F81, 46) (dual of [392, 319, 47]-code) [i]
18Linear OA(8172, 392, F81, 45) (dual of [392, 320, 46]-code) [i]
19Linear OA(8171, 392, F81, 44) (dual of [392, 321, 45]-code) [i]
20Linear OA(8170, 392, F81, 43) (dual of [392, 322, 44]-code) [i]
21Linear OA(8169, 392, F81, 42) (dual of [392, 323, 43]-code) [i]
22Linear OA(8168, 392, F81, 41) (dual of [392, 324, 42]-code) [i]
23Linear OA(8167, 392, F81, 40) (dual of [392, 325, 41]-code) [i]
24Linear OA(8166, 392, F81, 39) (dual of [392, 326, 40]-code) [i]
25Linear OA(8165, 392, F81, 38) (dual of [392, 327, 39]-code) [i]
26Linear OA(8164, 392, F81, 37) (dual of [392, 328, 38]-code) [i]
27Linear OA(8163, 392, F81, 36) (dual of [392, 329, 37]-code) [i]
28Linear OA(8162, 392, F81, 35) (dual of [392, 330, 36]-code) [i]
29Linear OA(8180, 6597, F81, 35) (dual of [6597, 6517, 36]-code) [i]Construction X with Cyclic Codes
30Linear OA(8176, 6597, F81, 33) (dual of [6597, 6521, 34]-code) [i]
31Linear OA(8172, 6597, F81, 31) (dual of [6597, 6525, 32]-code) [i]
32Linear OA(8168, 6597, F81, 29) (dual of [6597, 6529, 30]-code) [i]
33Linear OA(8164, 6597, F81, 27) (dual of [6597, 6533, 28]-code) [i]
34Linear OA(8160, 6597, F81, 25) (dual of [6597, 6537, 26]-code) [i]
35Linear OA(8181, 531488, F81, 24) (dual of [531488, 531407, 25]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
36Linear OA(8182, 6596, F81, 36) (dual of [6596, 6514, 37]-code) [i]
37Linear OA(8178, 6596, F81, 34) (dual of [6596, 6518, 35]-code) [i]
38Linear OA(8174, 6596, F81, 32) (dual of [6596, 6522, 33]-code) [i]
39Linear OA(8170, 6596, F81, 30) (dual of [6596, 6526, 31]-code) [i]
40Linear OA(8166, 6596, F81, 28) (dual of [6596, 6530, 29]-code) [i]
41Linear OA(8162, 6596, F81, 26) (dual of [6596, 6534, 27]-code) [i]
42Linear OA(8158, 6596, F81, 24) (dual of [6596, 6538, 25]-code) [i]