Information on Result #705224
Linear OA(3191, 774, F3, 46) (dual of [774, 583, 47]-code), using construction XX applied to C1 = C([322,363]), C2 = C([328,367]), C3 = C1 + C2 = C([328,363]), and C∩ = C1 ∩ C2 = C([322,367]) based on
- linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,363}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {328,329,…,367}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,367}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3141, 728, F3, 36) (dual of [728, 587, 37]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {328,329,…,363}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(35, 18, F3, 3) (dual of [18, 13, 4]-code or 18-cap in PG(4,3)), 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(3191, 387, F3, 2, 46) (dual of [(387, 2), 583, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3191, 258, F3, 3, 46) (dual of [(258, 3), 583, 47]-NRT-code) | [i] | ||