Information on Result #689481
Linear OA(978, 59086, F9, 16) (dual of [59086, 59008, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(979, 59087, F9, 16) (dual of [59087, 59008, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(980, 59088, F9, 16) (dual of [59088, 59008, 17]-code) | [i] | ||
| 3 | Linear OA(981, 59089, F9, 16) (dual of [59089, 59008, 17]-code) | [i] | ||
| 4 | Linear OA(982, 59090, F9, 16) (dual of [59090, 59008, 17]-code) | [i] | ||
| 5 | Linear OOA(978, 29543, F9, 2, 16) (dual of [(29543, 2), 59008, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(978, 19695, F9, 3, 16) (dual of [(19695, 3), 59007, 17]-NRT-code) | [i] | ||