Information on Result #688684
Linear OA(867, 543, F8, 21) (dual of [543, 476, 22]-code), using construction XX applied to Ce(20) ⊂ Ce(14) ⊂ Ce(12) based on
- linear OA(855, 512, F8, 21) (dual of [512, 457, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(840, 512, F8, 15) (dual of [512, 472, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(834, 512, F8, 13) (dual of [512, 478, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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.