Information on Result #675743
Linear OA(3247, 3292, F3, 47) (dual of [3292, 3045, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(45) ⊂ Ce(43) based on
- linear OA(3245, 3281, F3, 47) (dual of [3281, 3036, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3237, 3281, F3, 46) (dual of [3281, 3044, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3229, 3281, F3, 44) (dual of [3281, 3052, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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(3247, 1646, F3, 2, 47) (dual of [(1646, 2), 3045, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3247, 1097, F3, 3, 47) (dual of [(1097, 3), 3044, 48]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 823, F3, 4, 47) (dual of [(823, 4), 3045, 48]-NRT-code) | [i] | ||