Information on Result #686364
Linear OA(8163, 2097217, F8, 24) (dual of [2097217, 2097054, 25]-code), using construction X applied to Ce(24) ⊂ Ce(14) based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(815, 65, F8, 8) (dual of [65, 50, 9]-code), using
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) [i] based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using
- extended Reed–Solomon code RSe(57,64) [i]
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) [i] based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), 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.