Information on Result #689700
Linear OA(9122, 6570, F9, 34) (dual of [6570, 6448, 35]-code), using construction X applied to Ce(33) ⊂ Ce(31) based on
- linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(9122, 6468, F9, 2, 34) (dual of [(6468, 2), 12814, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9122, 6468, F9, 3, 34) (dual of [(6468, 3), 19282, 35]-NRT-code) | [i] | ||
| 3 | Digital (88, 122, 6468)-net over F9 | [i] | ||
| 4 | Linear OOA(9122, 3285, F9, 2, 34) (dual of [(3285, 2), 6448, 35]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9122, 2190, F9, 3, 34) (dual of [(2190, 3), 6448, 35]-NRT-code) | [i] | ||