Information on Result #689658
Linear OA(9137, 6565, F9, 39) (dual of [6565, 6428, 40]-code), using construction X applied to Ce(38) ⊂ Ce(37) based on
- linear OA(9137, 6561, F9, 39) (dual of [6561, 6424, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9133, 6561, F9, 38) (dual of [6561, 6428, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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(9137, 3282, F9, 2, 39) (dual of [(3282, 2), 6427, 40]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9137, 2188, F9, 3, 39) (dual of [(2188, 3), 6427, 40]-NRT-code) | [i] | ||