Information on Result #705925
Linear OA(3249, 743, F3, 65) (dual of [743, 494, 66]-code), using construction XX applied to C1 = C([727,61]), C2 = C([1,63]), C3 = C1 + C2 = C([1,61]), and C∩ = C1 ∩ C2 = C([727,63]) based on
- linear OA(3241, 728, F3, 63) (dual of [728, 487, 64]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,61}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(3240, 728, F3, 63) (dual of [728, 488, 64]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(3247, 728, F3, 65) (dual of [728, 481, 66]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−1,0,…,63}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(3234, 728, F3, 61) (dual of [728, 494, 62]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
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(3249, 371, F3, 2, 65) (dual of [(371, 2), 493, 66]-NRT-code) | [i] | OOA Folding | |