Information on Result #688592
Linear OA(8118, 543, F8, 41) (dual of [543, 425, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(34) ⊂ Ce(32) based on
- linear OA(8106, 512, F8, 41) (dual of [512, 406, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(891, 512, F8, 35) (dual of [512, 421, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(885, 512, F8, 33) (dual of [512, 427, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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.