Information on Result #1717876
Digital (77, 91, 40546)-net over F4, using net defined by OOA based on linear OOA(491, 40546, F4, 21, 14) (dual of [(40546, 21), 851375, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(491, 121639, F4, 3, 14) (dual of [(121639, 3), 364826, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(491, 121640, F4, 3, 14) (dual of [(121640, 3), 364829, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(491, 121640, F4, 2, 14) (dual of [(121640, 2), 243189, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(491, 131076, F4, 2, 14) (dual of [(131076, 2), 262061, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(491, 262152, F4, 14) (dual of [262152, 262061, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code), using
- OOA 2-folding [i] based on linear OA(491, 262152, F4, 14) (dual of [262152, 262061, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(491, 131076, F4, 2, 14) (dual of [(131076, 2), 262061, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(491, 121640, F4, 2, 14) (dual of [(121640, 2), 243189, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(491, 121640, F4, 3, 14) (dual of [(121640, 3), 364829, 15]-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.