Information on Result #680538
Linear OA(4117, 1035, F4, 31) (dual of [1035, 918, 32]-code), using construction X applied to Ce(30) ⊂ Ce(28) based on
- linear OA(4116, 1024, F4, 31) (dual of [1024, 908, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4106, 1024, F4, 29) (dual of [1024, 918, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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 OOA(4117, 974, F4, 2, 31) (dual of [(974, 2), 1831, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4117, 974, F4, 3, 31) (dual of [(974, 3), 2805, 32]-NRT-code) | [i] | ||
| 3 | Digital (86, 117, 974)-net over F4 | [i] | ||
| 4 | Linear OOA(4117, 517, F4, 2, 31) (dual of [(517, 2), 917, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4117, 345, F4, 3, 31) (dual of [(345, 3), 918, 32]-NRT-code) | [i] | ||