Information on Result #678443
Linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OA(4216, 262188, F4, 31) (dual of [262188, 261972, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4217, 262189, F4, 31) (dual of [262189, 261972, 32]-code) | [i] | ||
| 3 | Linear OOA(4215, 131093, F4, 2, 31) (dual of [(131093, 2), 261971, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4215, 87395, F4, 3, 31) (dual of [(87395, 3), 261970, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(4215, 17479, F4, 31, 31) (dual of [(17479, 31), 541634, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |