Information on Result #678393
Linear OA(4137, 262163, F4, 20) (dual of [262163, 262026, 21]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4137, 131081, F4, 2, 20) (dual of [(131081, 2), 262025, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4137, 87387, F4, 3, 20) (dual of [(87387, 3), 262024, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(4137, 26216, F4, 20, 20) (dual of [(26216, 20), 524183, 21]-NRT-code) | [i] | OA Folding and Stacking | |