Information on Result #689263
Linear OA(960, 531465, F9, 11) (dual of [531465, 531405, 12]-code), using construction XX applied to Ce(10) ⊂ Ce(6) ⊂ Ce(5) based on
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(937, 531441, F9, 7) (dual of [531441, 531404, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(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(960, 531465, F9, 2, 11) (dual of [(531465, 2), 1062870, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(960, 531465, F9, 3, 11) (dual of [(531465, 3), 1594335, 12]-NRT-code) | [i] | ||
| 3 | Digital (49, 60, 531465)-net over F9 | [i] | ||
| 4 | Linear OOA(960, 265732, F9, 2, 11) (dual of [(265732, 2), 531404, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(960, 177155, F9, 3, 11) (dual of [(177155, 3), 531405, 12]-NRT-code) | [i] | ||