Information on Result #688607
Linear OA(8109, 543, F8, 37) (dual of [543, 434, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(30) ⊂ Ce(28) based on
- linear OA(897, 512, F8, 37) (dual of [512, 415, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(882, 512, F8, 31) (dual of [512, 430, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(876, 512, F8, 29) (dual of [512, 436, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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.