Information on Result #689264
Linear OA(954, 531465, F9, 10) (dual of [531465, 531411, 11]-code), using construction XX applied to Ce(9) ⊂ Ce(5) ⊂ Ce(4) based on
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(931, 531441, F9, 6) (dual of [531441, 531410, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(925, 531441, F9, 5) (dual of [531441, 531416, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(94, 23, F9, 3) (dual of [23, 19, 4]-code or 23-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(954, 531465, F9, 2, 10) (dual of [(531465, 2), 1062876, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(954, 531465, F9, 3, 10) (dual of [(531465, 3), 1594341, 11]-NRT-code) | [i] | ||
| 3 | Digital (44, 54, 531465)-net over F9 | [i] | ||
| 4 | Linear OOA(954, 265732, F9, 2, 10) (dual of [(265732, 2), 531410, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(954, 177155, F9, 3, 10) (dual of [(177155, 3), 531411, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(954, 106293, F9, 10, 10) (dual of [(106293, 10), 1062876, 11]-NRT-code) | [i] | OA Folding and Stacking | |