Information on Result #1008740
Linear OOA(3212, 3188678, F3, 3, 16) (dual of [(3188678, 3), 9565822, 17]-NRT-code), using trace code based on linear OOA(9106, 1594339, F9, 3, 16) (dual of [(1594339, 3), 4782911, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9106, 4783017, F9, 16) (dual of [4783017, 4782911, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(9106, 4783018, F9, 16) (dual of [4783018, 4782912, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [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(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(97, 49, F9, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(9106, 4783018, F9, 16) (dual of [4783018, 4782912, 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(3215, 3188679, F3, 3, 16) (dual of [(3188679, 3), 9565822, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3213, 3188678, F3, 3, 16) (dual of [(3188678, 3), 9565821, 17]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3214, 3188678, F3, 3, 16) (dual of [(3188678, 3), 9565820, 17]-NRT-code) | [i] | ||