Information on Result #689548
Linear OA(9136, 59070, F9, 30) (dual of [59070, 58934, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(9136, 56312, F9, 2, 30) (dual of [(56312, 2), 112488, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9136, 56312, F9, 3, 30) (dual of [(56312, 3), 168800, 31]-NRT-code) | [i] | ||
| 3 | Digital (106, 136, 56312)-net over F9 | [i] | ||
| 4 | Linear OOA(9136, 29535, F9, 2, 30) (dual of [(29535, 2), 58934, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9136, 19690, F9, 3, 30) (dual of [(19690, 3), 58934, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(9136, 3938, F9, 30, 30) (dual of [(3938, 30), 118004, 31]-NRT-code) | [i] | OA Folding and Stacking | |