Information on Result #2799415
Linear OOA(3249, 398584, F3, 4, 29) (dual of [(398584, 4), 1594087, 30]-NRT-code), using 31 times duplication based on linear OOA(3248, 398584, F3, 4, 29) (dual of [(398584, 4), 1594088, 30]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3248, 1594336, F3, 29) (dual of [1594336, 1594088, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(3248, 1594323, F3, 29) (dual of [1594323, 1594075, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
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(3249, 363846, F3, 5, 29) (dual of [(363846, 5), 1818981, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (220, 249, 363846)-net over F3 | [i] | ||