Information on Result #683706
Linear OA(5145, 636, F5, 45) (dual of [636, 491, 46]-code), using construction XX applied to Ce(45) ⊂ Ce(42) ⊂ Ce(41) based on
- linear OA(5143, 625, F5, 46) (dual of [625, 482, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5135, 625, F5, 43) (dual of [625, 490, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5131, 625, F5, 42) (dual of [625, 494, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(51, 10, F5, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.