Information on Result #677726
Linear OA(3124, 131, F3, 80) (dual of [131, 7, 81]-code), using construction X applied to Ce(79) ⊂ Ce(49) based on
- linear OA(380, 81, F3, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,3)), using an extension Ce(79) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(344, 50, F3, 29) (dual of [50, 6, 30]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
- linear OA(338, 40, F3, 29) (dual of [40, 2, 30]-code), using code C2 for u = 4 by de Boer and Brouwer [i]
- linear OA(334, 40, F3, 23) (dual of [40, 6, 24]-code), using code C1 for u = 4 by de Boer and Brouwer [i]
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-code), using
- construction X applied to C2 ⊂ C1 [i] based on
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3124, 131, F3, 79) (dual of [131, 7, 80]-code) | [i] | Strength Reduction | |