Information on Result #705782
Linear OA(3248, 780, F3, 61) (dual of [780, 532, 62]-code), using construction XX applied to C1 = C([307,364]), C2 = C([315,367]), C3 = C1 + C2 = C([315,364]), 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(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 = {315,316,…,367}, and designed minimum distance d ≥ |I|+1 = 54 [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(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,364}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(315, 36, F3, 7) (dual of [36, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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(3248, 260, F3, 3, 61) (dual of [(260, 3), 532, 62]-NRT-code) | [i] | OOA Folding | |