Information on Result #689743
Linear OA(956, 6576, F9, 15) (dual of [6576, 6520, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
- linear OA(953, 6561, F9, 15) (dual of [6561, 6508, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(941, 6561, F9, 12) (dual of [6561, 6520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), 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(956, 6576, F9, 2, 15) (dual of [(6576, 2), 13096, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(956, 6576, F9, 3, 15) (dual of [(6576, 3), 19672, 16]-NRT-code) | [i] | ||
| 3 | Digital (41, 56, 6576)-net over F9 | [i] | ||
| 4 | Linear OOA(956, 3288, F9, 2, 15) (dual of [(3288, 2), 6520, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(956, 2192, F9, 3, 15) (dual of [(2192, 3), 6520, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(956, 939, F9, 15, 15) (dual of [(939, 15), 14029, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |