Information on Result #690758
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]) 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9148, 164, F9, 102) (dual of [164, 16, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9148, 164, F9, 101) (dual of [164, 16, 102]-code) | [i] | ||
| 3 | Linear OA(9148, 164, F9, 100) (dual of [164, 16, 101]-code) | [i] | ||
| 4 | Linear OA(9150, 166, F9, 103) (dual of [166, 16, 104]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(9145, 161, F9, 100) (dual of [161, 16, 101]-code) | [i] | Truncation | |
| 6 | Linear OA(9143, 159, F9, 98) (dual of [159, 16, 99]-code) | [i] | ||
| 7 | Linear OA(9142, 158, F9, 97) (dual of [158, 16, 98]-code) | [i] | ||
| 8 | Linear OA(9141, 157, F9, 96) (dual of [157, 16, 97]-code) | [i] | ||
| 9 | Linear OA(9140, 156, F9, 95) (dual of [156, 16, 96]-code) | [i] | ||
| 10 | Linear OA(9138, 154, F9, 93) (dual of [154, 16, 94]-code) | [i] | ||
| 11 | Linear OA(9137, 153, F9, 92) (dual of [153, 16, 93]-code) | [i] | ||
| 12 | Linear OA(9135, 151, F9, 90) (dual of [151, 16, 91]-code) | [i] | ||
| 13 | Linear OOA(9148, 82, F9, 2, 103) (dual of [(82, 2), 16, 104]-NRT-code) | [i] | OOA Folding | |