Information on Result #1189954
Digital (36, 45, 29414)-net over F7, using net defined by OOA based on linear OOA(745, 29414, F7, 9, 9) (dual of [(29414, 9), 264681, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(745, 117657, F7, 9) (dual of [117657, 117612, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(745, 117658, F7, 9) (dual of [117658, 117613, 10]-code), using
- construction XX applied to Ce(8) ⊂ Ce(7) ⊂ Ce(5) [i] based on
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(731, 117649, F7, 6) (dual of [117649, 117618, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(8) ⊂ Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(745, 117658, F7, 9) (dual of [117658, 117613, 10]-code), using
Mode: Constructive and 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.