Information on Result #731176
Linear OA(898, 8220, F8, 23) (dual of [8220, 8122, 24]-code), using trace code based on linear OA(6449, 4110, F64, 23) (dual of [4110, 4061, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(644, 14, F64, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), 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 OA(899, 8221, F8, 23) (dual of [8221, 8122, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(898, 4110, F8, 2, 23) (dual of [(4110, 2), 8122, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(898, 2740, F8, 3, 23) (dual of [(2740, 3), 8122, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(898, 747, F8, 23, 23) (dual of [(747, 23), 17083, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |