Information on Result #681224
Linear OA(4101, 347, F4, 30) (dual of [347, 246, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(4101, 342, F4, 30) (dual of [342, 241, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(496, 342, F4, 29) (dual of [342, 246, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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 OA(4102, 348, F4, 30) (dual of [348, 246, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4101, 173, F4, 2, 30) (dual of [(173, 2), 245, 31]-NRT-code) | [i] | OOA Folding | |