Information on Result #1190882
Digital (88, 109, 11765)-net over F7, using net defined by OOA based on linear OOA(7109, 11765, F7, 21, 21) (dual of [(11765, 21), 246956, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(7109, 117651, F7, 21) (dual of [117651, 117542, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 117655, F7, 21) (dual of [117655, 117546, 22]-code), using
- 1 times truncation [i] based on linear OA(7110, 117656, F7, 22) (dual of [117656, 117546, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(7109, 117649, F7, 22) (dual of [117649, 117540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(7103, 117649, F7, 20) (dual of [117649, 117546, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(7110, 117656, F7, 22) (dual of [117656, 117546, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 117655, F7, 21) (dual of [117655, 117546, 22]-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.