Information on Result #606577
Linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using Reed–Solomon code RS(69,81)
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(380, 160, F3, 25) (dual of [160, 80, 26]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(379, 155, F3, 25) (dual of [155, 76, 26]-code) | [i] | ||
| 3 | Linear OA(3143, 171, F3, 64) (dual of [171, 28, 65]-code) | [i] | ||
| 4 | Linear OA(3180, 220, F3, 77) (dual of [220, 40, 78]-code) | [i] | ||
| 5 | Linear OA(3174, 210, F3, 77) (dual of [210, 36, 78]-code) | [i] | ||
| 6 | Linear OA(3162, 190, F3, 77) (dual of [190, 28, 78]-code) | [i] | ||
| 7 | Linear OA(988, 96, F9, 64) (dual of [96, 8, 65]-code) | [i] | ||
| 8 | Linear OA(9114, 120, F9, 90) (dual of [120, 6, 91]-code) | [i] | ||
| 9 | Linear OOA(3152, 104, F3, 2, 64) (dual of [(104, 2), 56, 65]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 10 | Linear OOA(3148, 100, F3, 2, 64) (dual of [(100, 2), 52, 65]-NRT-code) | [i] | ||
| 11 | Linear OOA(3144, 96, F3, 2, 64) (dual of [(96, 2), 48, 65]-NRT-code) | [i] | ||
| 12 | Linear OOA(3140, 92, F3, 2, 64) (dual of [(92, 2), 44, 65]-NRT-code) | [i] | ||
| 13 | Linear OOA(3136, 88, F3, 2, 64) (dual of [(88, 2), 40, 65]-NRT-code) | [i] | ||
| 14 | Linear OOA(3200, 76, F3, 3, 116) (dual of [(76, 3), 28, 117]-NRT-code) | [i] | ||
| 15 | Linear OA(8182, 394, F81, 54) (dual of [394, 312, 55]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 16 | Linear OA(8181, 394, F81, 53) (dual of [394, 313, 54]-code) | [i] | ||
| 17 | Linear OA(8180, 394, F81, 52) (dual of [394, 314, 53]-code) | [i] | ||
| 18 | Linear OA(8179, 394, F81, 51) (dual of [394, 315, 52]-code) | [i] | ||
| 19 | Linear OA(8178, 394, F81, 50) (dual of [394, 316, 51]-code) | [i] | ||
| 20 | Linear OA(8177, 394, F81, 49) (dual of [394, 317, 50]-code) | [i] | ||
| 21 | Linear OA(8176, 394, F81, 48) (dual of [394, 318, 49]-code) | [i] | ||
| 22 | Linear OA(8175, 394, F81, 47) (dual of [394, 319, 48]-code) | [i] | ||
| 23 | Linear OA(8174, 394, F81, 46) (dual of [394, 320, 47]-code) | [i] | ||
| 24 | Linear OA(8173, 394, F81, 45) (dual of [394, 321, 46]-code) | [i] | ||
| 25 | Linear OA(8172, 394, F81, 44) (dual of [394, 322, 45]-code) | [i] | ||
| 26 | Linear OA(8171, 394, F81, 43) (dual of [394, 323, 44]-code) | [i] | ||
| 27 | Linear OA(8170, 394, F81, 42) (dual of [394, 324, 43]-code) | [i] | ||
| 28 | Linear OA(8169, 394, F81, 41) (dual of [394, 325, 42]-code) | [i] | ||
| 29 | Linear OA(8168, 394, F81, 40) (dual of [394, 326, 41]-code) | [i] | ||
| 30 | Linear OA(8167, 394, F81, 39) (dual of [394, 327, 40]-code) | [i] | ||
| 31 | Linear OA(8166, 394, F81, 38) (dual of [394, 328, 39]-code) | [i] | ||
| 32 | Linear OA(8165, 394, F81, 37) (dual of [394, 329, 38]-code) | [i] | ||
| 33 | Linear OA(8164, 394, F81, 36) (dual of [394, 330, 37]-code) | [i] | ||
| 34 | Linear OA(8181, 6599, F81, 35) (dual of [6599, 6518, 36]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 35 | Linear OA(8179, 6599, F81, 34) (dual of [6599, 6520, 35]-code) | [i] | ||
| 36 | Linear OA(8177, 6599, F81, 33) (dual of [6599, 6522, 34]-code) | [i] | ||
| 37 | Linear OA(8175, 6599, F81, 32) (dual of [6599, 6524, 33]-code) | [i] | ||
| 38 | Linear OA(8173, 6599, F81, 31) (dual of [6599, 6526, 32]-code) | [i] | ||
| 39 | Linear OA(8171, 6599, F81, 30) (dual of [6599, 6528, 31]-code) | [i] | ||
| 40 | Linear OA(8169, 6599, F81, 29) (dual of [6599, 6530, 30]-code) | [i] | ||
| 41 | Linear OA(8167, 6599, F81, 28) (dual of [6599, 6532, 29]-code) | [i] | ||
| 42 | Linear OA(8165, 6599, F81, 27) (dual of [6599, 6534, 28]-code) | [i] | ||
| 43 | Linear OA(8163, 6599, F81, 26) (dual of [6599, 6536, 27]-code) | [i] | ||