Information on Result #614557
Linear OA(767, 99, F7, 29) (dual of [99, 32, 30]-code), using construction X applied to C([0,14]) ⊂ C([1,14]) based on
- linear OA(755, 86, F7, 29) (dual of [86, 31, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(754, 86, F7, 16) (dual of [86, 32, 17]-code), using the narrow-sense BCH-code C(I) with length 86 | 76−1, defining interval I = [1,14], and minimum distance d ≥ |{1,4,7,…,16}| + |{−15,−14,…,0}∖{−1,−4,−7,−10,−13}| = 17 (general Roos-bound) [i]
- linear OA(712, 13, F7, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,7)), using
- dual of repetition code with length 13 [i]
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.