Information on Result #690116
Linear OA(9122, 733, F9, 46) (dual of [733, 611, 47]-code), using construction X applied to Ce(45) ⊂ Ce(43) based on
- linear OA(9121, 729, F9, 46) (dual of [729, 608, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(9118, 729, F9, 44) (dual of [729, 611, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(91, 4, F9, 1) (dual of [4, 3, 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, 366, F9, 2, 46) (dual of [(366, 2), 610, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9122, 244, F9, 3, 46) (dual of [(244, 3), 610, 47]-NRT-code) | [i] | ||