Information on Result #674852
Linear OA(3130, 59099, F3, 18) (dual of [59099, 58969, 19]-code), using construction X applied to C([0,9]) ⊂ C([0,6]) based on
- linear OA(3121, 59050, F3, 19) (dual of [59050, 58929, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(381, 59050, F3, 13) (dual of [59050, 58969, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(39, 49, F3, 4) (dual of [49, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-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 OOA(3130, 29549, F3, 2, 18) (dual of [(29549, 2), 58968, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3130, 19699, F3, 3, 18) (dual of [(19699, 3), 58967, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3130, 14774, F3, 4, 18) (dual of [(14774, 4), 58966, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3130, 11819, F3, 5, 18) (dual of [(11819, 5), 58965, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(3130, 6566, F3, 18, 18) (dual of [(6566, 18), 118058, 19]-NRT-code) | [i] | OA Folding and Stacking | |