Information on Result #703296
Linear OA(397, 283, F3, 26) (dual of [283, 186, 27]-code), using construction XX applied to C1 = C([236,16]), C2 = C([0,19]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([236,19]) based on
- 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 = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(366, 242, F3, 20) (dual of [242, 176, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−6,−5,…,19}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(356, 242, F3, 17) (dual of [242, 186, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(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 OA(398, 284, F3, 26) (dual of [284, 186, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(397, 141, F3, 2, 26) (dual of [(141, 2), 185, 27]-NRT-code) | [i] | OOA Folding | |