Information on Result #1323730
Linear OA(4104, 16430, F4, 18) (dual of [16430, 16326, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(412, 46, F4, 6) (dual of [46, 34, 7]-code), using
- a “GraQC†code from Grassl’s database [i]
Mode: 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(4104, 16430, F4, 2, 18) (dual of [(16430, 2), 32756, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4104, 16430, F4, 3, 18) (dual of [(16430, 3), 49186, 19]-NRT-code) | [i] | ||
| 3 | Digital (86, 104, 16430)-net over F4 | [i] | ||
| 4 | Linear OOA(4104, 8215, F4, 2, 18) (dual of [(8215, 2), 16326, 19]-NRT-code) | [i] | OOA Folding | |