Information on Result #716293
Linear OA(8121, 532, F8, 44) (dual of [532, 411, 45]-code), using construction XX applied to C1 = C([31,73]), C2 = C([36,74]), C3 = C1 + C2 = C([36,73]), and C∩ = C1 ∩ C2 = C([31,74]) based on
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,73}, and designed minimum distance d ≥ |I|+1 = 44 [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 = {36,37,…,74}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,74}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {36,37,…,73}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(86, 18, F8, 4) (dual of [18, 12, 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), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(8121, 266, F8, 2, 44) (dual of [(266, 2), 411, 45]-NRT-code) | [i] | OOA Folding | |