Information on Result #684756
Linear OA(751, 16812, F7, 12) (dual of [16812, 16761, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(746, 16807, F7, 11) (dual of [16807, 16761, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(751, 8406, F7, 2, 12) (dual of [(8406, 2), 16761, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(751, 5604, F7, 3, 12) (dual of [(5604, 3), 16761, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(751, 2802, F7, 12, 12) (dual of [(2802, 12), 33573, 13]-NRT-code) | [i] | OA Folding and Stacking | |