Information on Result #1712884
Digital (72, 83, 88586)-net over F3, using net defined by OOA based on linear OOA(383, 88586, F3, 15, 11) (dual of [(88586, 15), 1328707, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(383, 88587, F3, 5, 11) (dual of [(88587, 5), 442852, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(383, 88587, F3, 2, 11) (dual of [(88587, 2), 177091, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(383, 177174, F3, 11) (dual of [177174, 177091, 12]-code), using
- 1 times code embedding in larger space [i] based on linear OA(382, 177173, F3, 11) (dual of [177173, 177091, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(356, 177147, F3, 8) (dual of [177147, 177091, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(382, 177173, F3, 11) (dual of [177173, 177091, 12]-code), using
- OOA 2-folding [i] based on linear OA(383, 177174, F3, 11) (dual of [177174, 177091, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(383, 88587, F3, 2, 11) (dual of [(88587, 2), 177091, 12]-NRT-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.