Information on Result #1014350
Linear OOA(898, 5624737, F8, 3, 10) (dual of [(5624737, 3), 16874113, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 32335, F8, 3, 5) (dual of [(32335, 3), 96981, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(824, 32336, F8, 2, 5) (dual of [(32336, 2), 64648, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(80, 4042, F8, 2, 0) (dual of [(4042, 2), 8084, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(80, s, F8, 2, 0) for arbitrarily large s, using
- linear OOA(80, 4042, F8, 2, 0) (dual of [(4042, 2), 8084, 1]-NRT-code) (see above)
- linear OOA(80, 4042, F8, 2, 0) (dual of [(4042, 2), 8084, 1]-NRT-code) (see above)
- linear OOA(81, 4042, F8, 2, 1) (dual of [(4042, 2), 8083, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81, s, F8, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(81, s, F8, 2, 1) for arbitrarily large s, using
- linear OOA(81, 4042, F8, 2, 1) (dual of [(4042, 2), 8083, 2]-NRT-code) (see above)
- linear OOA(81, 4042, F8, 2, 1) (dual of [(4042, 2), 8083, 2]-NRT-code) (see above)
- linear OOA(85, 4042, F8, 2, 2) (dual of [(4042, 2), 8079, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 4681, F8, 2, 2) (dual of [(4681, 2), 9357, 3]-NRT-code), using
- appending kth column [i] based on linear OA(85, 4681, F8, 2) (dual of [4681, 4676, 3]-code), using
- Hamming code H(5,8) [i]
- appending kth column [i] based on linear OA(85, 4681, F8, 2) (dual of [4681, 4676, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 4681, F8, 2, 2) (dual of [(4681, 2), 9357, 3]-NRT-code), using
- linear OOA(816, 4042, F8, 2, 5) (dual of [(4042, 2), 8068, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(82, 9, F8, 2, 2) (dual of [(9, 2), 16, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;16,8) [i]
- linear OOA(814, 4033, F8, 2, 5) (dual of [(4033, 2), 8052, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- OOA 2-folding [i] based on linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- linear OOA(82, 9, F8, 2, 2) (dual of [(9, 2), 16, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(80, 4042, F8, 2, 0) (dual of [(4042, 2), 8084, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(824, 32336, F8, 2, 5) (dual of [(32336, 2), 64648, 6]-NRT-code), using
- linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 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(898, 2812368, F8, 15, 10) (dual of [(2812368, 15), 42185422, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |