Information on Result #1718296
Digital (78, 96, 2833)-net over F4, using net defined by OOA based on linear OOA(496, 2833, F4, 21, 18) (dual of [(2833, 21), 59397, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(496, 8500, F4, 3, 18) (dual of [(8500, 3), 25404, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(496, 8502, F4, 3, 18) (dual of [(8502, 3), 25410, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(496, 8502, F4, 18) (dual of [8502, 8406, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(496, 16403, F4, 18) (dual of [16403, 16307, 19]-code), using
- construction XX applied to Ce(17) ⊂ Ce(14) ⊂ Ce(13) [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(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(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(43, 18, F4, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(17) ⊂ Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(496, 16403, F4, 18) (dual of [16403, 16307, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(496, 8502, F4, 18) (dual of [8502, 8406, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(496, 8502, F4, 3, 18) (dual of [(8502, 3), 25410, 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.