Information on Result #1101423
Linear OOA(3150, 106294, F3, 5, 19) (dual of [(106294, 5), 531320, 20]-NRT-code), using OOA 5-folding based on linear OA(3150, 531470, F3, 19) (dual of [531470, 531320, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
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(3150, 106294, F3, 5, 18) (dual of [(106294, 5), 531320, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3151, 106294, F3, 5, 19) (dual of [(106294, 5), 531319, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3152, 106294, F3, 5, 19) (dual of [(106294, 5), 531318, 20]-NRT-code) | [i] | ||