Information on Result #678789
Linear OA(4206, 65613, F4, 31) (dual of [65613, 65407, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4129, 65536, F4, 22) (dual of [65536, 65407, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(421, 77, F4, 8) (dual of [77, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), 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(4206, 32806, F4, 2, 31) (dual of [(32806, 2), 65406, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4206, 21871, F4, 3, 31) (dual of [(21871, 3), 65407, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(4206, 4374, F4, 31, 31) (dual of [(4374, 31), 135388, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |