Information on Result #686607
Linear OA(8120, 262174, F8, 22) (dual of [262174, 262054, 23]-code), using construction XX applied to Ce(21) ⊂ Ce(17) ⊂ Ce(16) based on
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(84, 29, F8, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,8)), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(8120, 262174, F8, 2, 22) (dual of [(262174, 2), 524228, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8120, 262174, F8, 3, 22) (dual of [(262174, 3), 786402, 23]-NRT-code) | [i] | ||
| 3 | Digital (98, 120, 262174)-net over F8 | [i] | ||
| 4 | Linear OOA(8120, 131087, F8, 2, 22) (dual of [(131087, 2), 262054, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8120, 87391, F8, 3, 22) (dual of [(87391, 3), 262053, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(8120, 23834, F8, 22, 22) (dual of [(23834, 22), 524228, 23]-NRT-code) | [i] | OA Folding and Stacking | |