Information on Result #689330
Linear OA(9141, 59054, F9, 32) (dual of [59054, 58913, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
- linear OA(9141, 59049, F9, 32) (dual of [59049, 58908, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(9136, 59049, F9, 31) (dual of [59049, 58913, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OOA(9141, 29527, F9, 2, 32) (dual of [(29527, 2), 58913, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9141, 19684, F9, 3, 32) (dual of [(19684, 3), 58911, 33]-NRT-code) | [i] | ||