Information on Result #1012035
Linear OOA(4194, 2796286, F4, 3, 19) (dual of [(2796286, 3), 8388664, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(425, 85, F4, 3, 9) (dual of [(85, 3), 230, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(425, 255, F4, 9) (dual of [255, 230, 10]-code), using
- linear OOA(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4194, 932095, F4, 21, 19) (dual of [(932095, 21), 19573801, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |