Information on Result #1187330
Digital (207, 231, 699053)-net over F4, using net defined by OOA based on linear OOA(4231, 699053, F4, 27, 24) (dual of [(699053, 27), 18874200, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4231, 2796213, F4, 3, 24) (dual of [(2796213, 3), 8388408, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4231, 2796215, F4, 3, 24) (dual of [(2796215, 3), 8388414, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(415, 14, F4, 3, 12) (dual of [(14, 3), 27, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4216, 2796201, F4, 3, 24) (dual of [(2796201, 3), 8388387, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- OOA 3-folding [i] based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- linear OOA(415, 14, F4, 3, 12) (dual of [(14, 3), 27, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4231, 2796215, F4, 3, 24) (dual of [(2796215, 3), 8388414, 25]-NRT-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.