Information on Result #1010832
Linear OOA(3193, 2798391, F3, 3, 16) (dual of [(2798391, 3), 8394980, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(342, 2190, F3, 3, 8) (dual of [(2190, 3), 6528, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(342, 6570, F3, 8) (dual of [6570, 6528, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(342, 6571, F3, 8) (dual of [6571, 6529, 9]-code), using
- construction X4 applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(342, 6571, F3, 8) (dual of [6571, 6529, 9]-code), using
- OOA 3-folding [i] based on linear OA(342, 6570, F3, 8) (dual of [6570, 6528, 9]-code), using
- linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-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, 2798391, F3, 3, 16) (dual of [(2798391, 3), 8394979, 17]-NRT-code) | [i] | OOA Duplication | |