Information on Result #678609
Linear OA(4242, 65545, F4, 41) (dual of [65545, 65303, 42]-code), using construction X applied to Ce(40) ⊂ Ce(38) based on
- 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(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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 OA(4241, 65544, F4, 40) (dual of [65544, 65303, 41]-code) | [i] | Truncation | |
| 2 | Linear OOA(4242, 32772, F4, 2, 41) (dual of [(32772, 2), 65302, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4242, 21848, F4, 3, 41) (dual of [(21848, 3), 65302, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(4242, 3277, F4, 41, 41) (dual of [(3277, 41), 134115, 42]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |