Information on Result #1718576
Digital (88, 108, 2383)-net over F4, using net defined by OOA based on linear OOA(4108, 2383, F4, 27, 20) (dual of [(2383, 27), 64233, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4108, 9533, F4, 3, 20) (dual of [(9533, 3), 28491, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4108, 9534, F4, 3, 20) (dual of [(9534, 3), 28494, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4108, 9534, F4, 20) (dual of [9534, 9426, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4108, 16401, F4, 20) (dual of [16401, 16293, 21]-code), using
- construction XX applied to Ce(20) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(41, 16, F4, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(20) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4108, 16401, F4, 20) (dual of [16401, 16293, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4108, 9534, F4, 20) (dual of [9534, 9426, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(4108, 9534, F4, 3, 20) (dual of [(9534, 3), 28494, 21]-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.