Information on Result #1014351
Linear OOA(899, 5723476, F8, 3, 10) (dual of [(5723476, 3), 17170329, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(825, 131074, F8, 3, 5) (dual of [(131074, 3), 393197, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(825, 262149, F8, 5) (dual of [262149, 262124, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(825, 262150, F8, 5) (dual of [262150, 262125, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(819, 262144, F8, 4) (dual of [262144, 262125, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(825, 262150, F8, 5) (dual of [262150, 262125, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(825, 262149, F8, 5) (dual of [262149, 262124, 6]-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(899, 2861737, F8, 15, 10) (dual of [(2861737, 15), 42925956, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |