Information on Result #688488
Linear OA(8172, 538, F8, 62) (dual of [538, 366, 63]-code), using construction XX applied to Ce(61) ⊂ Ce(56) ⊂ Ce(54) based on
- linear OA(8163, 512, F8, 62) (dual of [512, 349, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(8148, 512, F8, 57) (dual of [512, 364, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8145, 512, F8, 55) (dual of [512, 367, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(86, 23, F8, 4) (dual of [23, 17, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 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.