Information on Result #2241492
Linear OA(4106, 16391, F4, 20) (dual of [16391, 16285, 21]-code), using 1 times truncation based on linear OA(4107, 16392, F4, 21) (dual of [16392, 16285, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 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(4106, 8195, F4, 2, 20) (dual of [(8195, 2), 16284, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4106, 5463, F4, 3, 20) (dual of [(5463, 3), 16283, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(4106, 1639, F4, 20, 20) (dual of [(1639, 20), 32674, 21]-NRT-code) | [i] | OA Folding and Stacking | |