Information on Result #678628
Linear OA(4122, 65545, F4, 21) (dual of [65545, 65423, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(4121, 65544, F4, 20) (dual of [65544, 65423, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(4122, 32772, F4, 2, 21) (dual of [(32772, 2), 65422, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4122, 21848, F4, 3, 21) (dual of [(21848, 3), 65422, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(4122, 6554, F4, 21, 21) (dual of [(6554, 21), 137512, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |