Information on Result #2284334
Linear OA(9137, 59130, F9, 26) (dual of [59130, 58993, 27]-code), using 1 times code embedding in larger space based on linear OA(9136, 59129, F9, 26) (dual of [59129, 58993, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(12) [i] based on
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(920, 80, F9, 12) (dual of [80, 60, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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 OOA(9137, 29565, F9, 2, 26) (dual of [(29565, 2), 58993, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9137, 19710, F9, 3, 26) (dual of [(19710, 3), 58993, 27]-NRT-code) | [i] | ||