Information on Result #606578
Linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using Reed–Solomon code RS(68,81)
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(386, 170, F3, 27) (dual of [170, 84, 28]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(385, 165, F3, 27) (dual of [165, 80, 28]-code) | [i] | ||
| 3 | Linear OA(384, 160, F3, 27) (dual of [160, 76, 28]-code) | [i] | ||
| 4 | Linear OA(3152, 180, F3, 69) (dual of [180, 28, 70]-code) | [i] | ||
| 5 | Linear OA(3190, 230, F3, 83) (dual of [230, 40, 84]-code) | [i] | ||
| 6 | Linear OA(3184, 220, F3, 83) (dual of [220, 36, 84]-code) | [i] | ||
| 7 | Linear OA(3172, 200, F3, 83) (dual of [200, 28, 84]-code) | [i] | ||
| 8 | Linear OA(994, 102, F9, 69) (dual of [102, 8, 70]-code) | [i] | ||
| 9 | Linear OA(9106, 112, F9, 83) (dual of [112, 6, 84]-code) | [i] | ||
| 10 | Linear OA(9122, 128, F9, 97) (dual of [128, 6, 98]-code) | [i] | ||
| 11 | Linear OOA(3160, 108, F3, 2, 69) (dual of [(108, 2), 56, 70]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(3156, 104, F3, 2, 69) (dual of [(104, 2), 52, 70]-NRT-code) | [i] | ||
| 13 | Linear OOA(3152, 100, F3, 2, 69) (dual of [(100, 2), 48, 70]-NRT-code) | [i] | ||
| 14 | Linear OOA(3148, 96, F3, 2, 69) (dual of [(96, 2), 44, 70]-NRT-code) | [i] | ||
| 15 | Linear OOA(3144, 92, F3, 2, 69) (dual of [(92, 2), 40, 70]-NRT-code) | [i] | ||
| 16 | Linear OOA(3140, 88, F3, 2, 69) (dual of [(88, 2), 36, 70]-NRT-code) | [i] | ||
| 17 | Linear OOA(3212, 80, F3, 3, 125) (dual of [(80, 3), 28, 126]-NRT-code) | [i] | ||
| 18 | Linear OA(8182, 396, F81, 53) (dual of [396, 314, 54]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 19 | Linear OA(8181, 396, F81, 52) (dual of [396, 315, 53]-code) | [i] | ||
| 20 | Linear OA(8180, 396, F81, 51) (dual of [396, 316, 52]-code) | [i] | ||
| 21 | Linear OA(8179, 396, F81, 50) (dual of [396, 317, 51]-code) | [i] | ||
| 22 | Linear OA(8178, 396, F81, 49) (dual of [396, 318, 50]-code) | [i] | ||
| 23 | Linear OA(8177, 396, F81, 48) (dual of [396, 319, 49]-code) | [i] | ||
| 24 | Linear OA(8176, 396, F81, 47) (dual of [396, 320, 48]-code) | [i] | ||
| 25 | Linear OA(8175, 396, F81, 46) (dual of [396, 321, 47]-code) | [i] | ||
| 26 | Linear OA(8174, 396, F81, 45) (dual of [396, 322, 46]-code) | [i] | ||
| 27 | Linear OA(8173, 396, F81, 44) (dual of [396, 323, 45]-code) | [i] | ||
| 28 | Linear OA(8172, 396, F81, 43) (dual of [396, 324, 44]-code) | [i] | ||
| 29 | Linear OA(8171, 396, F81, 42) (dual of [396, 325, 43]-code) | [i] | ||
| 30 | Linear OA(8170, 396, F81, 41) (dual of [396, 326, 42]-code) | [i] | ||
| 31 | Linear OA(8169, 396, F81, 40) (dual of [396, 327, 41]-code) | [i] | ||
| 32 | Linear OA(8168, 396, F81, 39) (dual of [396, 328, 40]-code) | [i] | ||
| 33 | Linear OA(8167, 396, F81, 38) (dual of [396, 329, 39]-code) | [i] | ||
| 34 | Linear OA(8166, 396, F81, 37) (dual of [396, 330, 38]-code) | [i] | ||
| 35 | Linear OA(8182, 6603, F81, 35) (dual of [6603, 6521, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 36 | Linear OA(8178, 6603, F81, 33) (dual of [6603, 6525, 34]-code) | [i] | ||
| 37 | Linear OA(8174, 6603, F81, 31) (dual of [6603, 6529, 32]-code) | [i] | ||
| 38 | Linear OA(8170, 6603, F81, 29) (dual of [6603, 6533, 30]-code) | [i] | ||
| 39 | Linear OA(8180, 6602, F81, 34) (dual of [6602, 6522, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 40 | Linear OA(8176, 6602, F81, 32) (dual of [6602, 6526, 33]-code) | [i] | ||
| 41 | Linear OA(8172, 6602, F81, 30) (dual of [6602, 6530, 31]-code) | [i] | ||
| 42 | Linear OA(8168, 6602, F81, 28) (dual of [6602, 6534, 29]-code) | [i] | ||