Information on Result #685004
Linear OA(748, 2416, F7, 13) (dual of [2416, 2368, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 OOA(748, 1208, F7, 2, 13) (dual of [(1208, 2), 2368, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(748, 805, F7, 3, 13) (dual of [(805, 3), 2367, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(748, 402, F7, 13, 13) (dual of [(402, 13), 5178, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |