Information on Result #1443252
Linear OOA(838, 28658, F8, 2, 9) (dual of [(28658, 2), 57278, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(838, 28658, F8, 9) (dual of [28658, 28620, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(838, 32777, F8, 9) (dual of [32777, 32739, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
Mode: 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(838, 14329, F8, 3, 9) (dual of [(14329, 3), 42949, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(838, 14328, F8, 10, 9) (dual of [(14328, 10), 143242, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |