Information on Result #1787420
Digital (94, 108, 1953170)-net over F5, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5108, 1953170, F5, 14) (dual of [1953170, 1953062, 15]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5107, 1953168, F5, 14) (dual of [1953168, 1953061, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(57, 43, F5, 4) (dual of [43, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(5107, 1953169, F5, 13) (dual of [1953169, 1953062, 14]-code), using Gilbert–Varšamov bound and bm = 5107 > Vbs−1(k−1) = 107 955339 541219 466852 100040 116705 258609 163895 280716 929865 106896 802259 564993 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(5107, 1953168, F5, 14) (dual of [1953168, 1953061, 15]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.