Information on Result #677177
Linear OA(3121, 248, F3, 41) (dual of [248, 127, 42]-code), using construction X applied to Ce(40) ⊂ Ce(39) based on
- linear OA(3121, 243, F3, 41) (dual of [243, 122, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(30, 5, F3, 0) (dual of [5, 5, 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 OOA(3121, 124, F3, 2, 41) (dual of [(124, 2), 127, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3121, 82, F3, 3, 41) (dual of [(82, 3), 125, 42]-NRT-code) | [i] | ||