Information on Result #703652
Linear OA(3140, 266, F3, 45) (dual of [266, 126, 46]-code), using construction XX applied to C1 = C([239,39]), C2 = C([0,42]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([239,42]) based on
- linear OA(3126, 242, F3, 43) (dual of [242, 116, 44]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,39}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3126, 242, F3, 43) (dual of [242, 116, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3136, 242, F3, 46) (dual of [242, 106, 47]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,42}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
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(3140, 133, F3, 2, 45) (dual of [(133, 2), 126, 46]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3140, 88, F3, 3, 45) (dual of [(88, 3), 124, 46]-NRT-code) | [i] | ||