Information on Result #1014488
Linear OOA(8129, 5679785, F8, 3, 13) (dual of [(5679785, 3), 17039226, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(831, 87383, F8, 3, 6) (dual of [(87383, 3), 262118, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(831, 262149, F8, 6) (dual of [262149, 262118, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(831, 262150, F8, 6) (dual of [262150, 262119, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 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(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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(831, 262150, F8, 6) (dual of [262150, 262119, 7]-code), using
- OOA 3-folding [i] based on linear OA(831, 262149, F8, 6) (dual of [262149, 262118, 7]-code), using
- linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-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(8129, 2839892, F8, 15, 13) (dual of [(2839892, 15), 42598251, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |