Information on Result #674559
Linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code), using construction X applied to Ce(18) ⊂ Ce(15) 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
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 OA(3150, 531470, F3, 19) (dual of [531470, 531320, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3149, 265734, F3, 2, 19) (dual of [(265734, 2), 531319, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3149, 177156, F3, 3, 19) (dual of [(177156, 3), 531319, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3149, 132867, F3, 4, 19) (dual of [(132867, 4), 531319, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3149, 106293, F3, 5, 19) (dual of [(106293, 5), 531316, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3149, 59052, F3, 19, 19) (dual of [(59052, 19), 1121839, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |