Information on Result #1013835
Linear OOA(7106, 5594754, F7, 3, 10) (dual of [(5594754, 3), 16784156, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(714, 2352, F7, 3, 5) (dual of [(2352, 3), 7042, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(714, 4705, F7, 5) (dual of [4705, 4691, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- trace code [i] based on linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 4706, F7, 5) (dual of [4706, 4692, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(714, 4705, F7, 5) (dual of [4705, 4691, 6]-code), using
- linear OOA(792, 5592402, F7, 3, 10) (dual of [(5592402, 3), 16777114, 11]-NRT-code), using
- trace code [i] based on linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(4946, large, F49, 10) (dual of [large, large−46, 11]-code), using
- trace code [i] based on linear OOA(4946, 2796201, F49, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-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(7106, 2797376, F7, 15, 10) (dual of [(2797376, 15), 41960534, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |