Information on Result #705834
Linear OA(3235, 752, F3, 60) (dual of [752, 517, 61]-code), using construction XX applied to C1 = C([307,364]), C2 = C([312,367]), C3 = C1 + C2 = C([312,364]), and C∩ = C1 ∩ C2 = C([307,367]) based on
- linear OA(3217, 728, F3, 58) (dual of [728, 511, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,364}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3220, 728, F3, 56) (dual of [728, 508, 57]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {312,313,…,367}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,367}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {312,313,…,364}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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
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(3235, 188, F3, 4, 60) (dual of [(188, 4), 517, 61]-NRT-code) | [i] | OOA Folding | |