Information on Result #611917
Linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(3210, large, F3, 20) (dual of [large, large−210, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3210, large, F3, 19) (dual of [large, large−210, 20]-code) | [i] | ||
| 3 | Linear OA(3210, large, F3, 18) (dual of [large, large−210, 19]-code) | [i] | ||
| 4 | Linear OA(3210, large, F3, 17) (dual of [large, large−210, 18]-code) | [i] | ||
| 5 | Linear OA(3210, large, F3, 16) (dual of [large, large−210, 17]-code) | [i] | ||
| 6 | Linear OA(3210, large, F3, 15) (dual of [large, large−210, 16]-code) | [i] | ||
| 7 | Linear OA(3210, large, F3, 14) (dual of [large, large−210, 15]-code) | [i] | ||
| 8 | Linear OA(3210, large, F3, 13) (dual of [large, large−210, 14]-code) | [i] | ||
| 9 | Linear OA(3210, large, F3, 12) (dual of [large, large−210, 13]-code) | [i] | ||
| 10 | Linear OA(3210, large, F3, 11) (dual of [large, large−210, 12]-code) | [i] | ||
| 11 | Linear OA(3210, large, F3, 10) (dual of [large, large−210, 11]-code) | [i] | ||
| 12 | Linear OA(3210, large, F3, 9) (dual of [large, large−210, 10]-code) | [i] | ||
| 13 | Linear OA(3210, large, F3, 8) (dual of [large, large−210, 9]-code) | [i] | ||
| 14 | Linear OA(3210, large, F3, 7) (dual of [large, large−210, 8]-code) | [i] | ||
| 15 | Linear OA(3210, large, F3, 6) (dual of [large, large−210, 7]-code) | [i] | ||
| 16 | Linear OA(3210, large, F3, 5) (dual of [large, large−210, 6]-code) | [i] | ||
| 17 | Linear OA(3210, large, F3, 4) (dual of [large, large−210, 5]-code) | [i] | ||
| 18 | Linear OA(3210, large, F3, 3) (dual of [large, large−210, 4]-code) | [i] | ||
| 19 | Linear OA(3212, large, F3, 21) (dual of [large, large−212, 22]-code) | [i] | Code Embedding in Larger Space | |
| 20 | Linear OA(3213, large, F3, 21) (dual of [large, large−213, 22]-code) | [i] | ||
| 21 | Linear OA(3214, large, F3, 21) (dual of [large, large−214, 22]-code) | [i] | ||
| 22 | Linear OA(3215, large, F3, 21) (dual of [large, large−215, 22]-code) | [i] | ||
| 23 | Linear OA(3216, large, F3, 21) (dual of [large, large−216, 22]-code) | [i] | ||
| 24 | Linear OA(3217, large, F3, 21) (dual of [large, large−217, 22]-code) | [i] | ||
| 25 | Linear OA(3218, large, F3, 21) (dual of [large, large−218, 22]-code) | [i] | ||
| 26 | Linear OA(3219, large, F3, 21) (dual of [large, large−219, 22]-code) | [i] | ||
| 27 | Linear OA(3220, large, F3, 21) (dual of [large, large−220, 22]-code) | [i] | ||
| 28 | Linear OA(3221, large, F3, 21) (dual of [large, large−221, 22]-code) | [i] | ||
| 29 | Linear OA(3222, large, F3, 21) (dual of [large, large−222, 22]-code) | [i] | ||
| 30 | Linear OA(3223, large, F3, 21) (dual of [large, large−223, 22]-code) | [i] | ||
| 31 | Linear OA(3224, large, F3, 21) (dual of [large, large−224, 22]-code) | [i] | ||
| 32 | Linear OA(3225, large, F3, 21) (dual of [large, large−225, 22]-code) | [i] | ||
| 33 | Linear OA(3227, large, F3, 21) (dual of [large, large−227, 22]-code) | [i] | ||
| 34 | Linear OA(3228, large, F3, 21) (dual of [large, large−228, 22]-code) | [i] | ||
| 35 | Linear OA(3229, large, F3, 21) (dual of [large, large−229, 22]-code) | [i] | ||
| 36 | Linear OA(3230, large, F3, 21) (dual of [large, large−230, 22]-code) | [i] | ||
| 37 | Linear OA(3231, large, F3, 21) (dual of [large, large−231, 22]-code) | [i] | ||
| 38 | Linear OA(3232, large, F3, 21) (dual of [large, large−232, 22]-code) | [i] | ||
| 39 | Linear OA(3233, large, F3, 21) (dual of [large, large−233, 22]-code) | [i] | ||
| 40 | Linear OA(3234, large, F3, 21) (dual of [large, large−234, 22]-code) | [i] | ||
| 41 | Linear OA(3235, large, F3, 21) (dual of [large, large−235, 22]-code) | [i] | ||
| 42 | Linear OA(3236, large, F3, 21) (dual of [large, large−236, 22]-code) | [i] | ||
| 43 | Linear OA(3237, large, F3, 21) (dual of [large, large−237, 22]-code) | [i] | ||
| 44 | Linear OA(3238, large, F3, 21) (dual of [large, large−238, 22]-code) | [i] | ||
| 45 | Linear OA(3239, large, F3, 21) (dual of [large, large−239, 22]-code) | [i] | ||
| 46 | Linear OA(3242, large, F3, 21) (dual of [large, large−242, 22]-code) | [i] | ||
| 47 | Linear OA(3243, large, F3, 21) (dual of [large, large−243, 22]-code) | [i] | ||
| 48 | Linear OA(3244, large, F3, 21) (dual of [large, large−244, 22]-code) | [i] | ||
| 49 | Linear OA(3245, large, F3, 21) (dual of [large, large−245, 22]-code) | [i] | ||
| 50 | Linear OA(3246, large, F3, 21) (dual of [large, large−246, 22]-code) | [i] | ||
| 51 | Linear OA(3247, large, F3, 21) (dual of [large, large−247, 22]-code) | [i] | ||
| 52 | Linear OA(3248, large, F3, 21) (dual of [large, large−248, 22]-code) | [i] | ||
| 53 | Linear OA(3249, large, F3, 21) (dual of [large, large−249, 22]-code) | [i] | ||
| 54 | Linear OA(3250, large, F3, 21) (dual of [large, large−250, 22]-code) | [i] | ||
| 55 | Linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code) | [i] | OOA Folding | |
| 56 | Linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code) | [i] | ||
| 57 | Linear OOA(3210, 2097150, F3, 4, 21) (dual of [(2097150, 4), 8388390, 22]-NRT-code) | [i] | ||
| 58 | Linear OOA(3210, 1677720, F3, 5, 21) (dual of [(1677720, 5), 8388390, 22]-NRT-code) | [i] | ||
| 59 | Linear OOA(3210, 838860, F3, 21, 21) (dual of [(838860, 21), 17615850, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |