Information on Result #681486
Linear OA(4143, 270, F4, 51) (dual of [270, 127, 52]-code), using construction X applied to Ce(50) ⊂ Ce(45) 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(4129, 256, F4, 46) (dual of [256, 127, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(46, 14, F4, 4) (dual of [14, 8, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-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 OOA(4143, 135, F4, 2, 51) (dual of [(135, 2), 127, 52]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4143, 90, F4, 3, 51) (dual of [(90, 3), 127, 52]-NRT-code) | [i] | ||