Information on Result #700708
Linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3234, 4783035, F3, 24) (dual of [4783035, 4782801, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(3178, 4783035, F3, 18) (dual of [4783035, 4782857, 19]-code) | [i] | ||
| 3 | Linear OA(3218, 1594385, F3, 24) (dual of [1594385, 1594167, 25]-code) | [i] | ||
| 4 | Linear OA(3166, 1594385, F3, 18) (dual of [1594385, 1594219, 19]-code) | [i] | ||
| 5 | Linear OA(3250, 531499, F3, 30) (dual of [531499, 531249, 31]-code) | [i] | ||
| 6 | Linear OA(3202, 531499, F3, 24) (dual of [531499, 531297, 25]-code) | [i] | ||
| 7 | Linear OA(3154, 531499, F3, 18) (dual of [531499, 531345, 19]-code) | [i] | ||
| 8 | Linear OA(3230, 177201, F3, 30) (dual of [177201, 176971, 31]-code) | [i] | ||
| 9 | Linear OA(3186, 177201, F3, 24) (dual of [177201, 177015, 25]-code) | [i] | ||
| 10 | Linear OA(3142, 177201, F3, 18) (dual of [177201, 177059, 19]-code) | [i] | ||
| 11 | Linear OA(3250, 59099, F3, 36) (dual of [59099, 58849, 37]-code) | [i] | ||
| 12 | Linear OA(3230, 59099, F3, 32) (dual of [59099, 58869, 33]-code) | [i] | ||
| 13 | Linear OA(3210, 59099, F3, 30) (dual of [59099, 58889, 31]-code) | [i] | ||
| 14 | Linear OA(3170, 59099, F3, 24) (dual of [59099, 58929, 25]-code) | [i] | ||
| 15 | Linear OA(3130, 59099, F3, 18) (dual of [59099, 58969, 19]-code) | [i] | ||
| 16 | Linear OA(3244, 19729, F3, 38) (dual of [19729, 19485, 39]-code) | [i] | ||
| 17 | Linear OA(3226, 19729, F3, 36) (dual of [19729, 19503, 37]-code) | [i] | ||
| 18 | Linear OA(3208, 19729, F3, 32) (dual of [19729, 19521, 33]-code) | [i] | ||
| 19 | Linear OA(3190, 19729, F3, 30) (dual of [19729, 19539, 31]-code) | [i] | ||
| 20 | Linear OA(3154, 19729, F3, 24) (dual of [19729, 19575, 25]-code) | [i] | ||
| 21 | Linear OA(3118, 19729, F3, 18) (dual of [19729, 19611, 19]-code) | [i] | ||
| 22 | Linear OA(317, 88, F3, 6) (dual of [88, 71, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 23 | Linear OA(324, 95, F3, 8) (dual of [95, 71, 9]-code) | [i] | ✔ | |
| 24 | Linear OA(3234, 4783020, F3, 25) (dual of [4783020, 4782786, 26]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 25 | Linear OA(3206, 4783020, F3, 22) (dual of [4783020, 4782814, 23]-code) | [i] | ||
| 26 | Linear OA(3178, 4783020, F3, 19) (dual of [4783020, 4782842, 20]-code) | [i] | ||
| 27 | Linear OA(3150, 4783020, F3, 16) (dual of [4783020, 4782870, 17]-code) | [i] | ||
| 28 | Linear OA(3206, 4783034, F3, 21) (dual of [4783034, 4782828, 22]-code) | [i] | ||
| 29 | Linear OA(3244, 1594371, F3, 28) (dual of [1594371, 1594127, 29]-code) | [i] | ||
| 30 | Linear OA(3218, 1594371, F3, 25) (dual of [1594371, 1594153, 26]-code) | [i] | ||
| 31 | Linear OA(3192, 1594371, F3, 22) (dual of [1594371, 1594179, 23]-code) | [i] | ||
| 32 | Linear OA(3166, 1594371, F3, 19) (dual of [1594371, 1594205, 20]-code) | [i] | ||
| 33 | Linear OA(3140, 1594371, F3, 16) (dual of [1594371, 1594231, 17]-code) | [i] | ||
| 34 | Linear OA(3244, 1594384, F3, 27) (dual of [1594384, 1594140, 28]-code) | [i] | ||
| 35 | Linear OA(3192, 1594384, F3, 21) (dual of [1594384, 1594192, 22]-code) | [i] | ||
| 36 | Linear OA(3250, 531486, F3, 31) (dual of [531486, 531236, 32]-code) | [i] | ||
| 37 | Linear OA(3226, 531486, F3, 28) (dual of [531486, 531260, 29]-code) | [i] | ||
| 38 | Linear OA(3202, 531486, F3, 25) (dual of [531486, 531284, 26]-code) | [i] | ||
| 39 | Linear OA(3178, 531486, F3, 22) (dual of [531486, 531308, 23]-code) | [i] | ||
| 40 | Linear OA(3154, 531486, F3, 19) (dual of [531486, 531332, 20]-code) | [i] | ||
| 41 | Linear OA(3130, 531486, F3, 16) (dual of [531486, 531356, 17]-code) | [i] | ||
| 42 | Linear OA(3226, 531498, F3, 27) (dual of [531498, 531272, 28]-code) | [i] | ||
| 43 | Linear OA(3178, 531498, F3, 21) (dual of [531498, 531320, 22]-code) | [i] | ||
| 44 | Linear OA(3208, 177200, F3, 27) (dual of [177200, 176992, 28]-code) | [i] | ||
| 45 | Linear OA(3164, 177200, F3, 21) (dual of [177200, 177036, 22]-code) | [i] | ||
| 46 | Linear OA(3230, 59098, F3, 33) (dual of [59098, 58868, 34]-code) | [i] | ||
| 47 | Linear OA(3190, 59098, F3, 27) (dual of [59098, 58908, 28]-code) | [i] | ||
| 48 | Linear OA(3150, 59098, F3, 21) (dual of [59098, 58948, 22]-code) | [i] | ||
| 49 | Linear OA(3244, 19728, F3, 39) (dual of [19728, 19484, 40]-code) | [i] | ||
| 50 | Linear OA(3208, 19728, F3, 33) (dual of [19728, 19520, 34]-code) | [i] | ||
| 51 | Linear OA(3172, 19728, F3, 27) (dual of [19728, 19556, 28]-code) | [i] | ||
| 52 | Linear OA(3136, 19728, F3, 21) (dual of [19728, 19592, 22]-code) | [i] | ||