Information on Result #1718292
Digital (76, 94, 2732)-net over F4, using net defined by OOA based on linear OOA(494, 2732, F4, 21, 18) (dual of [(2732, 21), 57278, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(494, 8197, F4, 3, 18) (dual of [(8197, 3), 24497, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(494, 8197, F4, 2, 18) (dual of [(8197, 2), 16300, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(494, 16394, F4, 18) (dual of [16394, 16300, 19]-code), using
- construction XX applied to Ce(17) ⊂ Ce(16) ⊂ Ce(14) [i] based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 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
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(17) ⊂ Ce(16) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(494, 16394, F4, 18) (dual of [16394, 16300, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(494, 8197, F4, 2, 18) (dual of [(8197, 2), 16300, 19]-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.