Information on Result #684641
Linear OA(776, 117664, F7, 15) (dual of [117664, 117588, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(776, 58832, F7, 2, 15) (dual of [(58832, 2), 117588, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(776, 39221, F7, 3, 15) (dual of [(39221, 3), 117587, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(776, 16809, F7, 15, 15) (dual of [(16809, 15), 252059, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |