Information on Result #674539
Linear OA(361, 531453, F3, 8) (dual of [531453, 531392, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(361, 531441, F3, 8) (dual of [531441, 531380, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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 OA(364, 531458, F3, 8) (dual of [531458, 531394, 9]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(361, 265726, F3, 2, 8) (dual of [(265726, 2), 531391, 9]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(361, 177151, F3, 3, 8) (dual of [(177151, 3), 531392, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(361, 132863, F3, 4, 8) (dual of [(132863, 4), 531391, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(361, 132863, F3, 5, 8) (dual of [(132863, 5), 664254, 9]-NRT-code) | [i] | OA Folding and Stacking | |
| 6 | Linear OOA(361, 132863, F3, 8, 8) (dual of [(132863, 8), 1062843, 9]-NRT-code) | [i] | ||