Information on Result #2253565
Linear OA(9145, 161, F9, 100) (dual of [161, 16, 101]-code), using 3 times truncation based on linear OA(9148, 164, F9, 103) (dual of [164, 16, 104]-code), using
- construction XX applied to C1 = C([0,99]), C2 = C([1,101]), C3 = C1 + C2 = C([1,99]), and C∩ = C1 ∩ C2 = C([0,101]) [i] based on
- linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
- linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(9146, 160, F9, 103) (dual of [160, 14, 104]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,101], and minimum distance d ≥ |{−1,0,…,101}|+1 = 104 (BCH-bound) [i]
- linear OA(9144, 160, F9, 99) (dual of [160, 16, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code) (see above)
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
- Extended Narrow-Sense BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9145, 80, F9, 2, 100) (dual of [(80, 2), 15, 101]-NRT-code) | [i] | OOA Folding | |