Information on Result #2281971
Linear OA(8127, 548, F8, 44) (dual of [548, 421, 45]-code), using 1 times code embedding in larger space based on linear OA(8126, 547, F8, 44) (dual of [547, 421, 45]-code), using
- construction XX applied to C1 = C([33,72]), C2 = C([39,76]), C3 = C1 + C2 = C([39,72]), and C∩ = C1 ∩ C2 = C([33,76]) [i] 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(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 = {39,40,…,76}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {33,34,…,76}, and designed minimum distance d ≥ |I|+1 = 45 [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(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), 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(8127, 274, F8, 2, 44) (dual of [(274, 2), 421, 45]-NRT-code) | [i] | OOA Folding | |