Information on Result #684682
Linear OA(7108, 117696, F7, 19) (dual of [117696, 117588, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(797, 117649, F7, 19) (dual of [117649, 117552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(711, 47, F7, 6) (dual of [47, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-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(7108, 58848, F7, 2, 19) (dual of [(58848, 2), 117588, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7108, 39232, F7, 3, 19) (dual of [(39232, 3), 117588, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(7108, 13077, F7, 19, 19) (dual of [(13077, 19), 248355, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |