Information on Result #1117165
Linear OOA(3194, 8388602, F3, 5, 10) (dual of [(8388602, 5), 41942816, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(346, 4194301, F3, 5, 5) (dual of [(4194301, 5), 20971459, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- linear OOA(3148, 4194301, F3, 5, 10) (dual of [(4194301, 5), 20971357, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3148, 8388602, F3, 3, 10) (dual of [(8388602, 3), 25165658, 11]-NRT-code), using
- trace code [i] based on linear OOA(974, 4194301, F9, 3, 10) (dual of [(4194301, 3), 12582829, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code), using
- trace code [i] based on linear OOA(974, 4194301, F9, 3, 10) (dual of [(4194301, 3), 12582829, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3148, 8388602, F3, 3, 10) (dual of [(8388602, 3), 25165658, 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(3194, 8388601, F3, 15, 10) (dual of [(8388601, 15), 125828821, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |