Information on Result #675548
Linear OA(389, 6593, F3, 16) (dual of [6593, 6504, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(38, 32, F3, 4) (dual of [32, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(389, 3296, F3, 2, 16) (dual of [(3296, 2), 6503, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(389, 2197, F3, 3, 16) (dual of [(2197, 3), 6502, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(389, 1648, F3, 4, 16) (dual of [(1648, 4), 6503, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(389, 1318, F3, 5, 16) (dual of [(1318, 5), 6501, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(389, 824, F3, 16, 16) (dual of [(824, 16), 13095, 17]-NRT-code) | [i] | OA Folding and Stacking | |