Information on Result #613692
Linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
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(5101, large, F5, 12) (dual of [large, large−101, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5101, large, F5, 11) (dual of [large, large−101, 12]-code) | [i] | ||
| 3 | Linear OA(5101, large, F5, 10) (dual of [large, large−101, 11]-code) | [i] | ||
| 4 | Linear OA(5101, large, F5, 9) (dual of [large, large−101, 10]-code) | [i] | ||
| 5 | Linear OA(5101, large, F5, 8) (dual of [large, large−101, 9]-code) | [i] | ||
| 6 | Linear OA(5101, large, F5, 7) (dual of [large, large−101, 8]-code) | [i] | ||
| 7 | Linear OA(5101, large, F5, 6) (dual of [large, large−101, 7]-code) | [i] | ||
| 8 | Linear OA(5101, large, F5, 5) (dual of [large, large−101, 6]-code) | [i] | ||
| 9 | Linear OA(5101, large, F5, 4) (dual of [large, large−101, 5]-code) | [i] | ||
| 10 | Linear OA(5101, large, F5, 3) (dual of [large, large−101, 4]-code) | [i] | ||
| 11 | Linear OA(5102, large, F5, 13) (dual of [large, large−102, 14]-code) | [i] | Code Embedding in Larger Space | |
| 12 | Linear OA(5103, large, F5, 13) (dual of [large, large−103, 14]-code) | [i] | ||
| 13 | Linear OA(5104, large, F5, 13) (dual of [large, large−104, 14]-code) | [i] | ||
| 14 | Linear OA(5105, large, F5, 13) (dual of [large, large−105, 14]-code) | [i] | ||
| 15 | Linear OA(5106, large, F5, 13) (dual of [large, large−106, 14]-code) | [i] | ||
| 16 | Linear OA(5107, large, F5, 13) (dual of [large, large−107, 14]-code) | [i] | ||
| 17 | Linear OA(5108, large, F5, 13) (dual of [large, large−108, 14]-code) | [i] | ||
| 18 | Linear OA(5109, large, F5, 13) (dual of [large, large−109, 14]-code) | [i] | ||
| 19 | Linear OA(5110, large, F5, 13) (dual of [large, large−110, 14]-code) | [i] | ||
| 20 | Linear OA(5112, large, F5, 13) (dual of [large, large−112, 14]-code) | [i] | ||
| 21 | Linear OA(5113, large, F5, 13) (dual of [large, large−113, 14]-code) | [i] | ||
| 22 | Linear OA(5114, large, F5, 13) (dual of [large, large−114, 14]-code) | [i] | ||
| 23 | Linear OA(5115, large, F5, 13) (dual of [large, large−115, 14]-code) | [i] | ||
| 24 | Linear OA(5116, large, F5, 13) (dual of [large, large−116, 14]-code) | [i] | ||
| 25 | Linear OA(5117, large, F5, 13) (dual of [large, large−117, 14]-code) | [i] | ||
| 26 | Linear OA(5118, large, F5, 13) (dual of [large, large−118, 14]-code) | [i] | ||
| 27 | Linear OA(5119, large, F5, 13) (dual of [large, large−119, 14]-code) | [i] | ||
| 28 | Linear OA(5122, large, F5, 13) (dual of [large, large−122, 14]-code) | [i] | ||
| 29 | Linear OA(5123, large, F5, 13) (dual of [large, large−123, 14]-code) | [i] | ||
| 30 | Linear OA(5124, large, F5, 13) (dual of [large, large−124, 14]-code) | [i] | ||
| 31 | Linear OA(5125, large, F5, 13) (dual of [large, large−125, 14]-code) | [i] | ||
| 32 | Linear OA(5126, large, F5, 13) (dual of [large, large−126, 14]-code) | [i] | ||
| 33 | Linear OA(5127, large, F5, 13) (dual of [large, large−127, 14]-code) | [i] | ||
| 34 | Linear OA(5128, large, F5, 13) (dual of [large, large−128, 14]-code) | [i] | ||
| 35 | Linear OA(5129, large, F5, 13) (dual of [large, large−129, 14]-code) | [i] | ||
| 36 | Linear OA(5130, large, F5, 13) (dual of [large, large−130, 14]-code) | [i] | ||
| 37 | Linear OA(5132, large, F5, 13) (dual of [large, large−132, 14]-code) | [i] | ||
| 38 | Linear OA(5133, large, F5, 13) (dual of [large, large−133, 14]-code) | [i] | ||
| 39 | Linear OA(5134, large, F5, 13) (dual of [large, large−134, 14]-code) | [i] | ||
| 40 | Linear OA(5135, large, F5, 13) (dual of [large, large−135, 14]-code) | [i] | ||
| 41 | Linear OA(5136, large, F5, 13) (dual of [large, large−136, 14]-code) | [i] | ||
| 42 | Linear OA(5137, large, F5, 13) (dual of [large, large−137, 14]-code) | [i] | ||
| 43 | Linear OA(5138, large, F5, 13) (dual of [large, large−138, 14]-code) | [i] | ||
| 44 | Linear OA(5139, large, F5, 13) (dual of [large, large−139, 14]-code) | [i] | ||
| 45 | Linear OA(5140, large, F5, 13) (dual of [large, large−140, 14]-code) | [i] | ||
| 46 | Linear OA(5142, large, F5, 13) (dual of [large, large−142, 14]-code) | [i] | ||
| 47 | Linear OA(5143, large, F5, 13) (dual of [large, large−143, 14]-code) | [i] | ||
| 48 | Linear OA(5144, large, F5, 13) (dual of [large, large−144, 14]-code) | [i] | ||
| 49 | Linear OA(5145, large, F5, 13) (dual of [large, large−145, 14]-code) | [i] | ||
| 50 | Linear OA(5146, large, F5, 13) (dual of [large, large−146, 14]-code) | [i] | ||
| 51 | Linear OA(5147, large, F5, 13) (dual of [large, large−147, 14]-code) | [i] | ||
| 52 | Linear OA(5148, large, F5, 13) (dual of [large, large−148, 14]-code) | [i] | ||
| 53 | Linear OA(5149, large, F5, 13) (dual of [large, large−149, 14]-code) | [i] | ||
| 54 | Linear OA(5150, large, F5, 13) (dual of [large, large−150, 14]-code) | [i] | ||
| 55 | Linear OOA(5101, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388501, 14]-NRT-code) | [i] | OOA Folding | |
| 56 | Linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code) | [i] | ||
| 57 | Linear OOA(5101, 1398100, F5, 13, 13) (dual of [(1398100, 13), 18175199, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |