Information on Result #684681
Linear OA(773, 117685, F7, 13) (dual of [117685, 117612, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(76, 36, F7, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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(773, 58842, F7, 2, 13) (dual of [(58842, 2), 117611, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(773, 39228, F7, 3, 13) (dual of [(39228, 3), 117611, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(773, 19614, F7, 13, 13) (dual of [(19614, 13), 254909, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |