Information on Result #677235
Linear OA(3127, 254, F3, 42) (dual of [254, 127, 43]-code), using construction X applied to Ce(42) ⊂ Ce(39) based on
- linear OA(3126, 243, F3, 43) (dual of [243, 117, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3116, 243, F3, 40) (dual of [243, 127, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3127, 127, F3, 2, 42) (dual of [(127, 2), 127, 43]-NRT-code) | [i] | OOA Folding | |