Information on Result #688530
Linear OA(8151, 543, F8, 53) (dual of [543, 392, 54]-code), using construction XX applied to Ce(52) ⊂ Ce(46) ⊂ Ce(44) based on
- linear OA(8139, 512, F8, 53) (dual of [512, 373, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8124, 512, F8, 47) (dual of [512, 388, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(8118, 512, F8, 45) (dual of [512, 394, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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.