Information on Result #689693
Linear OA(921, 6565, F9, 6) (dual of [6565, 6544, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(921, 6561, F9, 6) (dual of [6561, 6540, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(917, 6561, F9, 5) (dual of [6561, 6544, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(921, 6565, F9, 2, 6) (dual of [(6565, 2), 13109, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(921, 6565, F9, 3, 6) (dual of [(6565, 3), 19674, 7]-NRT-code) | [i] | ||
| 3 | Digital (15, 21, 6565)-net over F9 | [i] | ||
| 4 | Linear OOA(921, 3282, F9, 2, 6) (dual of [(3282, 2), 6543, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(921, 2188, F9, 3, 6) (dual of [(2188, 3), 6543, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(921, 2188, F9, 6, 6) (dual of [(2188, 6), 13107, 7]-NRT-code) | [i] | OA Folding and Stacking | |