Information on Result #686058
Linear OA(77, 51, F7, 4) (dual of [51, 44, 5]-code), using construction X applied to Ce(3) ⊂ Ce(2) based on
- linear OA(77, 49, F7, 4) (dual of [49, 42, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(75, 49, F7, 3) (dual of [49, 44, 4]-code or 49-cap in PG(4,7)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.