Information on Result #689190
Linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), 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(9113, 417948, F9, 2, 21) (dual of [(417948, 2), 835783, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9113, 417948, F9, 3, 21) (dual of [(417948, 3), 1253731, 22]-NRT-code) | [i] | ||
| 3 | Digital (92, 113, 417948)-net over F9 | [i] | ||
| 4 | Linear OOA(9113, 265731, F9, 2, 21) (dual of [(265731, 2), 531349, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9113, 177154, F9, 3, 21) (dual of [(177154, 3), 531349, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(9113, 53146, F9, 21, 21) (dual of [(53146, 21), 1115953, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |