Information on Result #3253519
Digital (49, 60, 1314)-net over F3, using 31 times duplication based on digital (48, 59, 1314)-net over F3, using
- net defined by OOA [i] based on linear OOA(359, 1314, F3, 11, 11) (dual of [(1314, 11), 14395, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(359, 6571, F3, 11) (dual of [6571, 6512, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code), using
- construction XX applied to Ce(10) ⊂ Ce(9) ⊂ Ce(7) [i] based on
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(10) ⊂ Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(359, 6571, F3, 11) (dual of [6571, 6512, 12]-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.