Information on Result #689715
Linear OA(950, 6570, F9, 14) (dual of [6570, 6520, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(949, 6561, F9, 14) (dual of [6561, 6512, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(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(950, 5203, F9, 2, 14) (dual of [(5203, 2), 10356, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(950, 5203, F9, 3, 14) (dual of [(5203, 3), 15559, 15]-NRT-code) | [i] | ||
3 | Digital (36, 50, 5203)-net over F9 | [i] | ||
4 | Linear OOA(950, 3285, F9, 2, 14) (dual of [(3285, 2), 6520, 15]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(950, 2190, F9, 3, 14) (dual of [(2190, 3), 6520, 15]-NRT-code) | [i] | ||
6 | Linear OOA(950, 938, F9, 14, 14) (dual of [(938, 14), 13082, 15]-NRT-code) | [i] | OA Folding and Stacking |