Information on Result #2265973
Linear OA(396, 278, F3, 26) (dual of [278, 182, 27]-code), using 1 times code embedding in larger space based on linear OA(395, 277, F3, 26) (dual of [277, 182, 27]-code), using
- construction XX applied to C1 = C([97,120]), C2 = C([103,122]), C3 = C1 + C2 = C([103,120]), and C∩ = C1 ∩ C2 = C([97,122]) [i] based on
- linear OA(380, 242, F3, 24) (dual of [242, 162, 25]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {97,98,…,120}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(366, 242, F3, 20) (dual of [242, 176, 21]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {103,104,…,122}, 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 = {97,98,…,122}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(360, 242, F3, 18) (dual of [242, 182, 19]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {103,104,…,120}, and designed minimum distance d ≥ |I|+1 = 19 [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(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(396, 139, F3, 2, 26) (dual of [(139, 2), 182, 27]-NRT-code) | [i] | OOA Folding | |