Information on Result #1008738
Linear OOA(3210, 3188672, F3, 3, 16) (dual of [(3188672, 3), 9565806, 17]-NRT-code), using trace code based on linear OOA(9105, 1594336, F9, 3, 16) (dual of [(1594336, 3), 4782903, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9105, 4783008, F9, 16) (dual of [4783008, 4782903, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(9105, 4783010, F9, 16) (dual of [4783010, 4782905, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(96, 41, F9, 4) (dual of [41, 35, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(9105, 4783010, F9, 16) (dual of [4783010, 4782905, 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(3211, 3188672, F3, 3, 16) (dual of [(3188672, 3), 9565805, 17]-NRT-code) | [i] | OOA Duplication | |