Information on Result #615829
Linear OA(937, 42, F9, 31) (dual of [42, 5, 32]-code), using construction X applied to C([0,15]) ⊂ C([1,15]) based on
- linear OA(937, 41, F9, 31) (dual of [41, 4, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(936, 41, F9, 30) (dual of [41, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [1,15], and minimum distance d ≥ |{−17,−13,−9,…,17}|+1 = 31 (BCH-bound) [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(937, 42, F9, 30) (dual of [42, 5, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9121, 126, F9, 95) (dual of [126, 5, 96]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(953, 58, F9, 42) (dual of [58, 5, 43]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(9127, 132, F9, 103) (dual of [132, 5, 104]-code) | [i] | ||
| 5 | Linear OA(9138, 143, F9, 112) (dual of [143, 5, 113]-code) | [i] | ||
| 6 | Linear OA(3158, 168, F3, 95) (dual of [168, 10, 96]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OOA(3242, 126, F3, 2, 159) (dual of [(126, 2), 10, 160]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(937, 21, F9, 2, 31) (dual of [(21, 2), 5, 32]-NRT-code) | [i] | OOA Folding | |