Information on Result #689476
Linear OA(9101, 59089, F9, 21) (dual of [59089, 58988, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
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(9102, 59090, F9, 21) (dual of [59090, 58988, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9101, 29544, F9, 2, 21) (dual of [(29544, 2), 58987, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9101, 19696, F9, 3, 21) (dual of [(19696, 3), 58987, 22]-NRT-code) | [i] | ||