Information on Result #684994
Linear OA(788, 2416, F7, 25) (dual of [2416, 2328, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(73, 15, F7, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(789, 2417, F7, 25) (dual of [2417, 2328, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(789, 2418, F7, 25) (dual of [2418, 2329, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(788, 1208, F7, 2, 25) (dual of [(1208, 2), 2328, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(788, 805, F7, 3, 25) (dual of [(805, 3), 2327, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(788, 201, F7, 25, 25) (dual of [(201, 25), 4937, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |