Information on Result #688508
Linear OA(8159, 536, F8, 58) (dual of [536, 377, 59]-code), using construction XX applied to Ce(57) ⊂ Ce(51) ⊂ Ce(50) based on
- linear OA(8151, 512, F8, 58) (dual of [512, 361, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(8136, 512, F8, 52) (dual of [512, 376, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8133, 512, F8, 51) (dual of [512, 379, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.