Information on Result #703611
Linear OA(3130, 262, F3, 42) (dual of [262, 132, 43]-code), using construction XX applied to C1 = C([81,120]), C2 = C([84,122]), C3 = C1 + C2 = C([84,120]), and C∩ = C1 ∩ C2 = C([81,122]) based on
- linear OA(3120, 242, F3, 40) (dual of [242, 122, 41]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {81,82,…,120}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3116, 242, F3, 39) (dual of [242, 126, 40]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,122}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3126, 242, F3, 42) (dual of [242, 116, 43]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {81,82,…,122}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3110, 242, F3, 37) (dual of [242, 132, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {84,85,…,120}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- 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, 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(3130, 131, F3, 2, 42) (dual of [(131, 2), 132, 43]-NRT-code) | [i] | OOA Folding | |