Information on Result #845064
Linear OOA(8163, 131108, F8, 2, 28) (dual of [(131108, 2), 262053, 29]-NRT-code), using OOA 2-folding based on linear OA(8163, 262216, F8, 28) (dual of [262216, 262053, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(17) [i] based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(818, 72, F8, 9) (dual of [72, 54, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(818, 130, F8, 9) (dual of [130, 112, 10]-code), using
- trace code [i] based on linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- extended Reed–Solomon code RSe(56,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- trace code [i] based on linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(818, 130, F8, 9) (dual of [130, 112, 10]-code), 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
None.