Information on Result #677668
Linear OA(3125, 138, F3, 69) (dual of [138, 13, 70]-code), using construction XX applied to Ce(75) ⊂ Ce(66) ⊂ Ce(60) based on
- linear OA(3116, 122, F3, 76) (dual of [122, 6, 77]-code), using an extension Ce(75) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(3111, 122, F3, 67) (dual of [122, 11, 68]-code), using an extension Ce(66) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,66], and designed minimum distance d ≥ |I|+1 = 67 [i]
- linear OA(3106, 122, F3, 61) (dual of [122, 16, 62]-code), using an extension Ce(60) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(36, 8, F3, 5) (dual of [8, 2, 6]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.