Information on Result #689398
Linear OA(9144, 59067, F9, 32) (dual of [59067, 58923, 33]-code), using construction X applied to Ce(31) ⊂ Ce(28) 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(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(93, 18, F9, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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 OOA(9144, 53224, F9, 2, 32) (dual of [(53224, 2), 106304, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9144, 53224, F9, 3, 32) (dual of [(53224, 3), 159528, 33]-NRT-code) | [i] | ||
| 3 | Digital (112, 144, 53224)-net over F9 | [i] | ||
| 4 | Linear OOA(9144, 29533, F9, 2, 32) (dual of [(29533, 2), 58922, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9144, 19689, F9, 3, 32) (dual of [(19689, 3), 58923, 33]-NRT-code) | [i] | ||