Information on Result #979555
Linear OOA(8136, 699074, F8, 3, 20) (dual of [(699074, 3), 2097086, 21]-NRT-code), using OOA 3-folding based on linear OA(8136, 2097222, F8, 20) (dual of [2097222, 2097086, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8136, 2097224, F8, 20) (dual of [2097224, 2097088, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(816, 72, F8, 8) (dual of [72, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(816, 130, F8, 8) (dual of [130, 114, 9]-code), using
- trace code [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]
- trace code [i] based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(816, 130, F8, 8) (dual of [130, 114, 9]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
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.