Information on Result #1550439
Linear OOA(5137, large, F5, 3, 16), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(5137, large, F5, 16) (dual of [large, large−137, 17]-code), using
- 16 times code embedding in larger space [i] based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
Mode: 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 OOA(5137, large, F5, 3, 15) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5137, large, F5, 3, 14) | [i] | ||
| 3 | Linear OOA(5137, large, F5, 3, 13) | [i] | ||
| 4 | Linear OOA(5137, large, F5, 3, 12) | [i] | ||
| 5 | Linear OOA(5140, large, F5, 3, 16) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(5143, large, F5, 3, 16) | [i] | ||
| 7 | Linear OOA(5149, large, F5, 3, 16) | [i] | ||
| 8 | Linear OOA(5138, large, F5, 3, 16) | [i] | OOA Duplication | |
| 9 | Linear OOA(5139, large, F5, 3, 16) | [i] | ||
| 10 | Linear OOA(5137, 2796200, F5, 21, 16) (dual of [(2796200, 21), 58720063, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |