Information on Result #737435
Linear OA(4144, 275, F4, 51) (dual of [275, 131, 52]-code), using construction X applied to Ce(50) ⊂ Ce(44) based on
- linear OA(4137, 256, F4, 51) (dual of [256, 119, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(47, 19, F4, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 20, F4, 5) (dual of [20, 13, 6]-code), 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(4144, 275, F4, 50) (dual of [275, 131, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4145, 276, F4, 51) (dual of [276, 131, 52]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OOA(4144, 137, F4, 2, 51) (dual of [(137, 2), 130, 52]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4144, 91, F4, 3, 51) (dual of [(91, 3), 129, 52]-NRT-code) | [i] | ||