Information on Result #678607
Linear OA(4249, 65544, F4, 42) (dual of [65544, 65295, 43]-code), using construction X applied to Ce(41) ⊂ Ce(40) based on
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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 OA(4250, 65545, F4, 42) (dual of [65545, 65295, 43]-code) | [i] | Code Embedding in Larger Space | |
2 | Linear OOA(4249, 32772, F4, 2, 42) (dual of [(32772, 2), 65295, 43]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(4249, 21848, F4, 3, 42) (dual of [(21848, 3), 65295, 43]-NRT-code) | [i] | ||
4 | Linear OOA(4249, 3121, F4, 42, 42) (dual of [(3121, 42), 130833, 43]-NRT-code) | [i] | OA Folding and Stacking |