Information on Result #685327
Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code), using construction X4 applied to Ce(5) ⊂ Ce(3) based on
- linear OA(716, 343, F7, 6) (dual of [343, 327, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(710, 343, F7, 4) (dual of [343, 333, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(77, 8, F7, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,7)), using
- dual of repetition code with length 8 [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-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(717, 117, F7, 3, 6) (dual of [(117, 3), 334, 7]-NRT-code) | [i] | OOA Folding | |