Information on Result #1012039
Linear OOA(4200, 2796542, F4, 3, 19) (dual of [(2796542, 3), 8389426, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(431, 341, F4, 3, 9) (dual of [(341, 3), 992, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(431, 1023, F4, 9) (dual of [1023, 992, 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(4200, 932180, F4, 21, 19) (dual of [(932180, 21), 19575580, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |