Information on Result #688736
Linear OA(840, 77, F8, 21) (dual of [77, 37, 22]-code), using construction XX applied to C([0,10]) ⊂ C([0,9]) ⊂ C([0,6]) based on
- linear OA(833, 65, F8, 21) (dual of [65, 32, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(829, 65, F8, 19) (dual of [65, 36, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(825, 65, F8, 13) (dual of [65, 40, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- linear OA(85, 6, F8, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,8)), using
- dual of repetition code with length 6 [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.