Information on Result #687839
Linear OA(8173, 524, F8, 64) (dual of [524, 351, 65]-code), using construction XX applied to C([0,32]) ⊂ C([0,30]) ⊂ C([0,29]) based on
- linear OA(8169, 513, F8, 65) (dual of [513, 344, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(8163, 513, F8, 61) (dual of [513, 350, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- linear OA(8157, 513, F8, 59) (dual of [513, 356, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.
Other Results with Identical Parameters
None.
Depending Results
None.