Information on Result #688622
Linear OA(8100, 543, F8, 34) (dual of [543, 443, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(27) ⊂ Ce(25) based on
- linear OA(888, 512, F8, 34) (dual of [512, 424, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(873, 512, F8, 28) (dual of [512, 439, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(867, 512, F8, 26) (dual of [512, 445, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(87, 26, F8, 5) (dual of [26, 19, 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(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.