Information on Result #716310
Linear OA(8131, 552, F8, 45) (dual of [552, 421, 46]-code), using construction XX applied to C1 = C([33,72]), C2 = C([39,77]), C3 = C1 + C2 = C([39,72]), and C∩ = C1 ∩ C2 = C([33,77]) based on
- linear OA(8105, 511, F8, 40) (dual of [511, 406, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,72}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(8103, 511, F8, 39) (dual of [511, 408, 40]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,77}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,77}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(890, 511, F8, 34) (dual of [511, 421, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {39,40,…,72}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(86, 19, F8, 4) (dual of [19, 13, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), 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(8131, 276, F8, 2, 45) (dual of [(276, 2), 421, 46]-NRT-code) | [i] | OOA Folding | |