Information on Result #1081263
Linear OOA(3212, 2391510, F3, 4, 16) (dual of [(2391510, 4), 9565828, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(314, 22, F3, 4, 8) (dual of [(22, 4), 74, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3198, 2391488, F3, 4, 16) (dual of [(2391488, 4), 9565754, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3198, 4782976, F3, 2, 16) (dual of [(4782976, 2), 9565754, 17]-NRT-code), using
- trace code [i] based on linear OOA(999, 2391488, F9, 2, 16) (dual of [(2391488, 2), 4782877, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [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(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- trace code [i] based on linear OOA(999, 2391488, F9, 2, 16) (dual of [(2391488, 2), 4782877, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3198, 4782976, F3, 2, 16) (dual of [(4782976, 2), 9565754, 17]-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(3213, 2391510, F3, 4, 16) (dual of [(2391510, 4), 9565827, 17]-NRT-code) | [i] | OOA Duplication | |