Information on Result #703378
Linear OA(3109, 275, F3, 32) (dual of [275, 166, 33]-code), using construction XX applied to C1 = C([91,121]), C2 = C([99,122]), C3 = C1 + C2 = C([99,121]), and C∩ = C1 ∩ C2 = C([91,122]) based on
- linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,121}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(381, 242, F3, 24) (dual of [242, 161, 25]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,122}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,122}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(376, 242, F3, 23) (dual of [242, 166, 24]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {99,100,…,121}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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(3109, 137, F3, 2, 32) (dual of [(137, 2), 165, 33]-NRT-code) | [i] | OOA Folding | |