Information on Result #2266997
Linear OA(3141, 273, F3, 44) (dual of [273, 132, 45]-code), using 2 times code embedding in larger space based on linear OA(3139, 271, F3, 44) (dual of [271, 132, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(37) [i] based on
- linear OA(3131, 243, F3, 44) (dual of [243, 112, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3141, 91, F3, 3, 44) (dual of [(91, 3), 132, 45]-NRT-code) | [i] | OOA Folding | |