Information on Result #613763
Linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19
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(5141, large, F5, 17) (dual of [large, large−141, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5141, large, F5, 16) (dual of [large, large−141, 17]-code) | [i] | ||
| 3 | Linear OA(5141, large, F5, 15) (dual of [large, large−141, 16]-code) | [i] | ||
| 4 | Linear OA(5141, large, F5, 14) (dual of [large, large−141, 15]-code) | [i] | ||
| 5 | Linear OA(5141, large, F5, 13) (dual of [large, large−141, 14]-code) | [i] | ||
| 6 | Linear OA(5141, large, F5, 12) (dual of [large, large−141, 13]-code) | [i] | ||
| 7 | Linear OA(5141, large, F5, 11) (dual of [large, large−141, 12]-code) | [i] | ||
| 8 | Linear OA(5141, large, F5, 10) (dual of [large, large−141, 11]-code) | [i] | ||
| 9 | Linear OA(5141, large, F5, 9) (dual of [large, large−141, 10]-code) | [i] | ||
| 10 | Linear OA(5141, large, F5, 8) (dual of [large, large−141, 9]-code) | [i] | ||
| 11 | Linear OA(5141, large, F5, 7) (dual of [large, large−141, 8]-code) | [i] | ||
| 12 | Linear OA(5141, large, F5, 6) (dual of [large, large−141, 7]-code) | [i] | ||
| 13 | Linear OA(5141, large, F5, 5) (dual of [large, large−141, 6]-code) | [i] | ||
| 14 | Linear OA(5141, large, F5, 4) (dual of [large, large−141, 5]-code) | [i] | ||
| 15 | Linear OA(5141, large, F5, 3) (dual of [large, large−141, 4]-code) | [i] | ||
| 16 | Linear OA(5142, large, F5, 18) (dual of [large, large−142, 19]-code) | [i] | Code Embedding in Larger Space | |
| 17 | Linear OA(5143, large, F5, 18) (dual of [large, large−143, 19]-code) | [i] | ||
| 18 | Linear OA(5144, large, F5, 18) (dual of [large, large−144, 19]-code) | [i] | ||
| 19 | Linear OA(5145, large, F5, 18) (dual of [large, large−145, 19]-code) | [i] | ||
| 20 | Linear OA(5146, large, F5, 18) (dual of [large, large−146, 19]-code) | [i] | ||
| 21 | Linear OA(5147, large, F5, 18) (dual of [large, large−147, 19]-code) | [i] | ||
| 22 | Linear OA(5148, large, F5, 18) (dual of [large, large−148, 19]-code) | [i] | ||
| 23 | Linear OA(5149, large, F5, 18) (dual of [large, large−149, 19]-code) | [i] | ||
| 24 | Linear OA(5150, large, F5, 18) (dual of [large, large−150, 19]-code) | [i] | ||
| 25 | Linear OOA(5141, 4194301, F5, 2, 18) (dual of [(4194301, 2), 8388461, 19]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(5141, 2796201, F5, 3, 18) (dual of [(2796201, 3), 8388462, 19]-NRT-code) | [i] | ||
| 27 | Linear OOA(5141, 932067, F5, 18, 18) (dual of [(932067, 18), 16777065, 19]-NRT-code) | [i] | OA Folding and Stacking | |