Information on Result #2496401
Linear OOA(4182, 131095, F4, 2, 26) (dual of [(131095, 2), 262008, 27]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4180, 131094, F4, 2, 26) (dual of [(131094, 2), 262008, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4180, 262188, F4, 26) (dual of [262188, 262008, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- 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(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-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(4183, 131095, F4, 2, 26) (dual of [(131095, 2), 262007, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4182, 131095, F4, 3, 26) (dual of [(131095, 3), 393103, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (156, 182, 131095)-net over F4 | [i] | ||