Information on Result #683939
Linear OA(5136, 331, F5, 44) (dual of [331, 195, 45]-code), using construction XX applied to Ce(43) ⊂ Ce(40) ⊂ Ce(38) based on
- linear OA(5131, 313, F5, 44) (dual of [313, 182, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5117, 313, F5, 39) (dual of [313, 196, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(53, 16, F5, 2) (dual of [16, 13, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.